Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
21801	Solve by Factoring	(4x+1)(x+2)=-2	$(4 x + 1) (x + 2) = - 2$
21802	Solve by Factoring	(4y-1)(y+2)=0	$(4 y - 1) (y + 2) = 0$
21803	Solve by Factoring	(a+7)(a-2)=0	$(a + 7) (a - 2) = 0$
21804	Solve by Factoring	(x)=x^3-10x^2+4^2x-72	$(x) = x^{3} - 10 x^{2} + 4^{2} x - 72$
21805	Solve by Factoring	(x+1)(x+3)=24	$(x + 1) (x + 3) = 24$
21806	Solve by Factoring	(x-16.5)(x-109)=0	$(x - 16.5) (x - 109) = 0$
21807	Solve by Factoring	(x-3)(1-x)=1	$(x - 3) (1 - x) = 1$
21808	Solve by Factoring	(x-9)(x+1)=0	$(x - 9) (x + 1) = 0$
21809	Determine if True	f(-1)=5(-1)^4-7*-1+8	$f (- 1) = 5 {(- 1)}^{4} - 7 \cdot - 1 + 8$
21810	Solve by Factoring	(1-y)^2+(1-y)y-y^2=-41	${(1 - y)}^{2} + (1 - y) y - y^{2} = - 41$
21811	Solve by Factoring	(5m-6)^2=7	${(5 m - 6)}^{2} = 7$
21812	Solve by Factoring	(n-5)^2=-4	${(n - 5)}^{2} = - 4$
21813	Solve by Factoring	(tan(x)-tan(x)^2)/(sec(x))=5/3	$\frac{\tan (x) - \tan^{2} (x)}{\sec (x)} = \frac{5}{3}$
21814	Solve by Factoring	(x+2)^3=x^2+8	${(x + 2)}^{3} = x^{2} + 8$
21815	Solve by Factoring	(x+3)^2+(x-3)^2=0	${(x + 3)}^{2} + {(x - 3)}^{2} = 0$
21816	Solve by Factoring	(x+8)^2-80=0	${(x + 8)}^{2} - 80 = 0$
21817	Solve by Factoring	(x-0.5)^2+(y+0.5)^2=(4)^2	${(x - 0.5)}^{2} + {(y + 0.5)}^{2} = {(4)}^{2}$
21818	Solve by Factoring	(x-2)^2=25	${(x - 2)}^{2} = 25$
21819	Solve by Factoring	(x-3)^2+(y-5)^2=r^2	${(x - 3)}^{2} + {(y - 5)}^{2} = r^{2}$
21820	Solve by Factoring	( square root of x)/2=(x^2)/( square root of x)	$\frac{\sqrt{x}}{2} = \frac{x^{2}}{\sqrt{x}}$
21821	Solve by Factoring	(x^2)/2+4x+10=0	$\frac{x^{2}}{2} + 4 x + 10 = 0$
21822	Solve by Factoring	(x^2-1)/(x-4)=x+4	$\frac{x^{2} - 1}{x - 4} = x + 4$
21823	Solve by Factoring	\|3x-6\|=5	$\| 3 x - 6 \| = 5$
21824	Solve by Factoring	\|9-16x\|=-4	$\| 9 - 16 x \| = - 4$
21825	Solve by Factoring	\|94-x\|=89	$\| 94 - x \| = 89$
21826	Solve by Factoring	\|x+1\|=5	$\| x + 1 \| = 5$
21827	Solve by Factoring	1/(0+2)+3=10/(0+2)	$\frac{1}{0 + 2} + 3 = \frac{10}{0 + 2}$
21828	Solve by Factoring	1/2*((h-6)(h))=416	$\frac{1}{2} \cdot ((h - 6) (h)) = 416$
21829	Solve by Factoring	1/2-1/2=-(-1/2)+1/2	$\frac{1}{2} - \frac{1}{2} = - (- \frac{1}{2}) + \frac{1}{2}$
21830	Solve by Factoring	1/(xx)=9	$\frac{1}{x x} = 9$
21831	Solve by Factoring	1/(xx)=x^9	$\frac{1}{x x} = x^{9}$
21832	Solve by Factoring	2^(2x)-2^(x+2)-12=0	$2^{2 x} - 2^{x + 2} - 12 = 0$
21833	Solve by Factoring	20x^-2x^-1-1=0	$20 x^{- 2} x^{- 1} - 1 = 0$
21834	Solve by Factoring	25^2-32=0	$25^{2} - 32 = 0$
21835	Solve by Factoring	25^x+5^(x+1)-3=0	$25^{x} + 5^{x + 1} - 3 = 0$
21836	Solve by Factoring	27^(3x)=96x+2	$27^{3 x} = 96 x + 2$
21837	Solve by Factoring	(2x)/(1x)+(x+3)/(x^2-1)=1	$\frac{2 x}{1 x} + \frac{x + 3}{x^{2} - 1} = 1$
21838	Solve by Factoring	(2x)/(x+2)+(x+2)/(2x)=2	$\frac{2 x}{x + 2} + \frac{x + 2}{2 x} = 2$
21839	Solve by Factoring	2x^2+8x-1=0	$2 x^{2} + 8 x - 1 = 0$
21840	Solve by Factoring	3/(2z+2)=4/(3z-3)	$\frac{3}{2 z + 2} = \frac{4}{3 z - 3}$
21841	Solve by Factoring	3/(x-2)+4/5=27/(5(x-2))	$\frac{3}{x - 2} + \frac{4}{5} = \frac{27}{5 (x - 2)}$
21842	Solve by Factoring	3^(1-2x)+9^(-x)=12	$3^{1 - 2 x} + 9^{- x} = 12$
21843	Solve by Factoring	3^(2X)*3^(5X)=27	$3^{2 X} \cdot 3^{5 X} = 27$
21844	Solve by Factoring	3^(5x)-4=9	$3^{5 x} - 4 = 9$
21845	Solve by Factoring	(3x)/5-x=x/15-35/3	$\frac{3 x}{5} - x = \frac{x}{15} - \frac{35}{3}$
21846	Solve by Factoring	(3x-17)/(x-4)=(7x-7)/28	$\frac{3 x - 17}{x - 4} = \frac{7 x - 7}{28}$
21847	Solve by Factoring	(3y)/(3+y)+y/(3+y)=4	$\frac{3 y}{3 + y} + \frac{y}{3 + y} = 4$
21848	Solve by Factoring	4/6=6/9	$\frac{4}{6} = \frac{6}{9}$
21849	Solve by Factoring	4/d=-1/4	$\frac{4}{d} = \frac{- 1}{4}$
21850	Solve by Factoring	(4x square root of x^3-1-((3x^4)/( square root of x^3-1)))/(x^3-1)=0	$\frac{4 x \sqrt{x^{3} - 1} - (\frac{3 x^{4}}{\sqrt{x^{3} - 1}})}{x^{3} - 1} = 0$
21851	Solve by Factoring	5000000/7000=(1+x)^200	$\frac{5000000}{7000} = {(1 + x)}^{200}$
21852	Solve by Factoring	6/(5(0)+20)=4/(0+4)-2/5	$\frac{6}{5 (0) + 20} = \frac{4}{0 + 4} - \frac{2}{5}$
21853	Solve by Factoring	6/(x-6)-7/(x+6)=6/(2^2-36)	$\frac{6}{x - 6} - \frac{7}{x + 6} = \frac{6}{2^{2} - 36}$
21854	Solve by Factoring	6/(x-6)-7/(x+6)=6/(x^2-36)	$\frac{6}{x - 6} - \frac{7}{x + 6} = \frac{6}{x^{2} - 36}$
21855	Solve by Factoring	7^(2x)+7^x-30=0	$7^{2 x} + 7^{x} - 30 = 0$
21856	Solve by Factoring	8^(7x)=64	$8^{7 x} = 64$
21857	Solve by Factoring	9/(2x+6)=2y(x+3)	$\frac{9}{2 x + 6} = 2 y (x + 3)$
21858	Solve by Factoring	a^2-a^2=a^2-a^2	$a^{2} - a^{2} = a^{2} - a^{2}$
21859	Solve by Factoring	a^2-4a=16+2a	$a^{2} - 4 a = 16 + 2 a$
21860	Solve by Factoring	a^2-8a+15=0	$a^{2} - 8 a + 15 = 0$
21861	Solve by Factoring	b^2-8b+15=0	$b^{2} - 8 b + 15 = 0$
21862	Solve by Factoring	f/(5c)=0	$\frac{f}{5 c} = 0$
21863	Solve by Factoring	h^-1(5)=-3	$h^{- 1} (5) = - 3$
21864	Solve by Factoring	l^2-10l+20=0	$l^{2} - 10 l + 20 = 0$
21865	Solve by Factoring	log base 2 of 5=(x-5)	$\log_{2} (5) = (x - 5)$
21866	Solve by Factoring	log base 2 of x- log base 2 of x-2=3	$\log_{2} (x) - \log_{2} (x - 2) = 3$
21867	Solve by Factoring	log base 3 of 3^x-8=2-x	$\log_{3} (3^{x} - 8) = 2 - x$
21868	Solve by Factoring	log base 5 of x+ log base 5 of 3 = log base 5 of 6	$\log_{5} (x) + \log_{5} (3) = \log_{5} (6)$
21869	Solve by Factoring	log base 6 of 2x-6=6	$\log_{6} (2 x - 6) = 6$
21870	Solve by Factoring	log base 7 of x+ log base 7 of x-2 = log base 7 of 24	$\log_{7} (x) + \log_{7} (x - 2) = \log_{7} (24)$
21871	Solve by Factoring	log base x of square root of 5/5=1/2	$\log_{x} (\sqrt{\frac{5}{5}}) = \frac{1}{2}$
21872	Solve by Factoring	m^2+4m-32=0	$m^{2} + 4 m - 32 = 0$
21873	Solve by Factoring	(m-3)/(15m+2)=3/2	$\frac{m - 3}{15 m + 2} = \frac{3}{2}$
21874	Solve by Factoring	p^2-20=-p	$p^{2} - 20 = - p$
21875	Solve by Factoring	p^2-8p=0	$p^{2} - 8 p = 0$
21876	Solve by Factoring	r^2=(4-h)^2+(2-k)^2	$r^{2} = {(4 - h)}^{2} + {(2 - k)}^{2}$
21877	Solve by Factoring	sin(x)^2=2+2cos(x)	$\sin^{2} (x) = 2 + 2 \cos (x)$
21878	Solve by Factoring	square root of x^2-10x+25+12 square root of x=15 square root of x	$\sqrt{x^{2} - 10 x + 25} + 12 \sqrt{x} = 15 \sqrt{x}$
21879	Solve by Factoring	square root of 12-x=4	$\sqrt{12 - x} = 4$
21880	Solve by Factoring	square root of 16-6x-x=0	$\sqrt{16 - 6 x} - x = 0$
21881	Solve by Factoring	square root of 2x+10=4	$\sqrt{2 x} + 10 = 4$
21882	Solve by Factoring	square root of 3y+9- square root of y+16=1	$\sqrt{3 y + 9} - \sqrt{y + 16} = 1$
21883	Solve by Factoring	v^2+13v+36=0	$v^{2} + 13 v + 36 = 0$
21884	Solve by Factoring	v^2-6v-14=2	$v^{2} - 6 v - 14 = 2$
21885	Solve by Factoring	cube root of (x+2)^2=16	$\sqrt[3]{{(x + 2)}^{2}} = 16$
21886	Solve by Factoring	(x-1/5)/x-1=4	$\frac{x - \frac{1}{5}}{x} - 1 = 4$
21887	Solve by Factoring	x/(2x-1)-3=1/4	$\frac{x}{2 x - 1} - 3 = \frac{1}{4}$
21888	Solve by Factoring	x/(x+4)-1/(x+1)=1	$\frac{x}{x + 4} - \frac{1}{x + 1} = 1$
21889	Solve by Factoring	x^(2/7)-43x^(1/7)=-42	$x^{\frac{2}{7}} - 43 x^{\frac{1}{7}} = - 42$
21890	Solve by Factoring	x^0*(7x)+10=0	$x^{0} \cdot (7 x) + 10 = 0$
21891	Solve by Factoring	x^2+(x+10)^2=(x+20)^2	$x^{2} + {(x + 10)}^{2} = {(x + 20)}^{2}$
21892	Solve by Factoring	x^2+(x+2)^2=(x+4)^2-65	$x^{2} + {(x + 2)}^{2} = {(x + 4)}^{2} - 65$
21893	Solve by Factoring	x^2+(x+4)^2=(x+8)^2	$x^{2} + {(x + 4)}^{2} = {(x + 8)}^{2}$
21894	Solve by Factoring	x^2+10x+18=0	$x^{2} + 10 x + 18 = 0$
21895	Solve by Factoring	x^2+18x+70=0	$x^{2} + 18 x + 70 = 0$
21896	Solve by Factoring	x^2+2e^(-x)=17	$x^{2} + 2 e^{- x} = 17$
21897	Solve by Factoring	x^2+20x+125=0	$x^{2} + 20 x + 125 = 0$
21898	Solve by Factoring	x^2+2x+y^2+3y-12=0	$x^{2} + 2 x + y^{2} + 3 y - 12 = 0$
21899	Solve by Factoring	x^2+2x=3	$x^{2} + 2 x = 3$
21900	Solve by Factoring	x^2+3+2=0	$x^{2} + 3 + 2 = 0$