Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
16301	Solve for x	1/8-1/6=1/x	$\frac{1}{8} - \frac{1}{6} = \frac{1}{x}$
16302	Solve for x	1/8-(x+3)/4=(3x-2)/2	$\frac{1}{8} - \frac{x + 3}{4} = \frac{3 x - 2}{2}$
16303	Solve for x	1/8x-1/11x+1/88x=8	$\frac{1}{8} x - \frac{1}{11} x + \frac{1}{88} x = 8$
16304	Solve for x	1/5*(5-3x)=1/2x-2	$\frac{1}{5} \cdot (5 - 3 x) = \frac{1}{2} x - 2$
16305	Solve for x	1/5=1+1/x	$\frac{1}{5} = 1 + \frac{1}{x}$
16306	Solve for x	1/5x+1/6=7/30	$\frac{1}{5} x + \frac{1}{6} = \frac{7}{30}$
16307	Solve for x	1/5x=2/5	$\frac{1}{5} x = \frac{2}{5}$
16308	Solve for x	1/50=x/400	$\frac{1}{50} = \frac{x}{400}$
16309	Solve for x	1/6x=16	$\frac{1}{6} x = 16$
16310	Solve for x	1/6+1/7=1/x	$\frac{1}{6} + \frac{1}{7} = \frac{1}{x}$
16311	Solve for x	-1/6x-5/2-(3-6x)/5=0	$- \frac{1}{6} x - \frac{5}{2} - \frac{3 - 6 x}{5} = 0$
16312	Solve for x	1/3+1/8=1/x	$\frac{1}{3} + \frac{1}{8} = \frac{1}{x}$
16313	Solve for x	1/3+x/2=1/3x^2	$\frac{1}{3} + \frac{x}{2} = \frac{1}{3} x^{2}$
16314	Solve for x	1/3=x/121	$\frac{1}{3} = \frac{x}{121}$
16315	Solve for x	1/3x=-2	$\frac{1}{3} x = - 2$
16316	Solve for x	1/3x-6=-x/6+3	$\frac{1}{3} x - 6 = - \frac{x}{6} + 3$
16317	Solve for x	1/4*\|x^3+1\|^2=\|x^3+1\|-1
16318	Solve for a	(3x^3+13x-4)/(x^3+x^2-2x)=a/x+b/(x+2)+c/(x-1)	$\frac{3 x^{3} + 13 x - 4}{x^{3} + x^{2} - 2 x} = \frac{a}{x} + \frac{b}{x + 2} + \frac{c}{x - 1}$
16319	Solve for a	(a^2r^6)/(a^2r^3)=729/-27	$\frac{a^{2} r^{6}}{a^{2} r^{3}} = \frac{729}{- 27}$
16320	Solve for a	\|2a+6\|=\|3a-8\|	$\| 2 a + 6 \| = \| 3 a - 8 \|$
16321	Solve for x	(x-7)^2-5(x-7)+4=0	${(x - 7)}^{2} - 5 (x - 7) + 4 = 0$
16322	Solve for x	((1+i)^2)/((1-i)^2)+2/(x+iy)=2+2i	$\frac{{(1 + i)}^{2}}{{(1 - i)}^{2}} + \frac{2}{x + i y} = 2 + 2 i$
16323	Solve for X	((X-6)^2)/100+((y-7)^2)/121=1	$\frac{{(X - 6)}^{2}}{100} + \frac{{(y - 7)}^{2}}{121} = 1$
16324	Solve for x	1/(27^(2x))*3^(-2x)=81^(x^2-2)	$\frac{1}{27^{2 x}} \cdot 3^{- 2 x} = 81^{x^{2} - 2}$
16325	Solve for x	1/(9^(x^2))-1/(18^x)=2/9	$\frac{1}{9^{x^{2}}} - \frac{1}{18^{x}} = \frac{2}{9}$
16326	Solve for x	2/(7(x-3))=1/3*(2x+3)	$\frac{2}{7 (x - 3)} = \frac{1}{3} \cdot (2 x + 3)$
16327	Solve for x	sin(x)^2-79sin(2x)+153cos(x)^2+2sin(5x)cos(3x)-2sin(3x)cos(5x)=0	$\sin^{2} (x) - 79 \sin (2 x) + 153 \cos^{2} (x) + 2 \sin (5 x) \cos (3 x) - 2 \sin (3 x) \cos (5 x) = 0$
16328	Solve for x	(x^2)/(0.05-x)=3.1*10^-8	$\frac{x^{2}}{0.05 - x} = 3.1 \cdot 10^{- 8}$
16329	Solve for x	1/9+1/11=1/x	$\frac{1}{9} + \frac{1}{11} = \frac{1}{x}$
16330	Solve for x	1/(x+16)-4=(5x-18)/(x+16)	$\frac{1}{x + 16} - 4 = \frac{5 x - 18}{x + 16}$
16331	Solve for x	1/(x-1)-1/(x+1)=1+2/(x^2-1)	$\frac{1}{x - 1} - \frac{1}{x + 1} = 1 + \frac{2}{x^{2} - 1}$
16332	Solve for x	1/(x-2)=(x+1)/3-1/(3x-6)	$\frac{1}{x - 2} = \frac{x + 1}{3} - \frac{1}{3 x - 6}$
16333	Solve for x	1/(x-3)-3/(x^2-3x)=2	$\frac{1}{x - 3} - \frac{3}{x^{2} - 3 x} = 2$
16334	Solve for x	(10.50x)/10.50=59000/10.50	$\frac{10.5 x}{10.5} = \frac{59000}{10.5}$
16335	Solve for x	10/18=12/x	$\frac{10}{18} = \frac{12}{x}$
16336	Solve for x	10^2=x^2+6^2	$10^{2} = x^{2} + 6^{2}$
16337	Solve for x	10^( log of 9x+5)=6	$10^{\log (9 x + 5)} = 6$
16338	Solve for x	10^x=5/8	$10^{x} = \frac{5}{8}$
16339	Solve for x	10^x=12	$10^{x} = 12$
16340	Solve for x	10^x=13	$10^{x} = 13$
16341	Solve for x	10^x=3.17	$10^{x} = 3.17$
16342	Solve for x	10^x=-4.3281	$10^{x} = - 4.3281$
16343	Solve for x	10^x=4.86	$10^{x} = 4.86$
16344	Solve for x	110/(50^2)=x/(100^2)	$\frac{110}{50^{2}} = \frac{x}{100^{2}}$
16345	Solve for x	1251/608=x/3406	$\frac{1251}{608} = \frac{x}{3406}$
16346	Solve for x	(127^(2-37)x(ps))/( log of 27)=7p	$\frac{127^{2 - 37} x (p s)}{\log (27)} = 7 p$
16347	Solve for x	13^2+x^2=11^2	$13^{2} + x^{2} = 11^{2}$
16348	Solve for x	14/x=x-5	$\frac{14}{x} = x - 5$
16349	Solve for x	15/10=x/6	$\frac{15}{10} = \frac{x}{6}$
16350	Solve for x	16/(x^2-16)-2/(x-4)=3/(x+4)	$\frac{16}{x^{2} - 16} - \frac{2}{x - 4} = \frac{3}{x + 4}$
16351	Solve for x	16^x-5*2^(x-1)+1=0	$16^{x} - 5 \cdot 2^{x - 1} + 1 = 0$
16352	Solve for x	16^(x-1)=8^x	$16^{x - 1} = 8^{x}$
16353	Solve for x	(-18x^2-18)/((x^2+3)^3)=0	$\frac{- 18 x^{2} - 18}{{(x^{2} + 3)}^{3}} = 0$
16354	Solve for x	2.4/4=x/14	$\frac{2.4}{4} = \frac{x}{14}$
16355	Solve for x	2/3x+3/9x=8	$\frac{2}{3} x + \frac{3}{9} x = 8$
16356	Solve for x	2/3x-5y=-3	$\frac{2}{3} x - 5 y = - 3$
16357	Solve for x	2/(3x)+1/4=46/(6x)-1/3	$\frac{2}{3 x} + \frac{1}{4} = \frac{46}{6 x} - \frac{1}{3}$
16358	Solve for x	2/(3x)-2=-1/(2x)+8/3	$\frac{2}{3 x} - 2 = - \frac{1}{2 x} + \frac{8}{3}$
16359	Solve for x	2/7x=6	$\frac{2}{7} x = 6$
16360	Solve for x	2/9=12/x	$\frac{2}{9} = \frac{12}{x}$
16361	Solve for x	2/9x-1/11=-9	$\frac{2}{9} x - \frac{1}{11} = - 9$
16362	Solve for x	2^( log base 2 of 3)=x	$2^{\log_{2} (3)} = x$
16363	Solve for x	2^(-3x-x^2)=2^2	$2^{- 3 x - x^{2}} = 2^{2}$
16364	Solve for x	2^x=0.2020	$2^{x} = 0.202$
16365	Solve for x	2^x=28	$2^{x} = 28$
16366	Solve for X	2^(X+1)=512	$2^{X + 1} = 512$
16367	Solve for x	(20(25))/120=(25x)/125	$\frac{20 (25)}{120} = \frac{25 x}{125}$
16368	Solve for x	21820/(x(18)+y(25))=940	$\frac{21820}{x (18) + y (25)} = 940$
16369	Solve for x	25^x=125^(x+2)	$25^{x} = 125^{x + 2}$
16370	Solve for x	25^(x-1)+100=(5^(2x))/5	$25^{x - 1} + 100 = \frac{5^{2 x}}{5}$
16371	Solve for x	27^(3x)=96x+2	$27^{3 x} = 96 x + 2$
16372	Solve for x	29/(x+4)-1/(x+4)=4	$\frac{29}{x + 4} - \frac{1}{x + 4} = 4$
16373	Solve for x	1/2(4x-8)=1/3(12x-6)	$\frac{1}{2} \cdot (4 x - 8) = \frac{1}{3} \cdot (12 x - 6)$
16374	Solve for x	1/2(6x-8)=1/4(16x-12)	$\frac{1}{2} \cdot (6 x - 8) = \frac{1}{4} \cdot (16 x - 12)$
16375	Solve for x	-1/2*(32(x)^2)+40(x)+80=104.64	$- \frac{1}{2} \cdot (32 {(x)}^{2}) + 40 (x) + 80 = 104.64$
16376	Solve for x	1/2* log base 5 of 81 = log base 5 of 3x	$\frac{1}{2} \cdot \log_{5} (81) = \log_{5} (3 x)$
16377	Solve for x	1/2-x/3=(2x-3)/3	$\frac{1}{2} - \frac{x}{3} = \frac{2 x - 3}{3}$
16378	Solve for x	1/2-x/5=(2x-5)/5	$\frac{1}{2} - \frac{x}{5} = \frac{2 x - 5}{5}$
16379	Solve for x	1/2=x/(5^(1/3))	$\frac{1}{2} = \frac{x}{5^{\frac{1}{3}}}$
16380	Solve for x	-1/2 = log base x of 9	$- \frac{1}{2} = \log_{x} (9)$
16381	Solve for x	1/2=x/4	$\frac{1}{2} = \frac{x}{4}$
16382	Solve for x	1/2x+1/3y=12	$\frac{1}{2} x + \frac{1}{3} y = 12$
16383	Solve for x	1/2x+1/6=7/20	$\frac{1}{2} x + \frac{1}{6} = \frac{7}{20}$
16384	Solve for x	1/2x=-1/2x	$\frac{1}{2} x = - \frac{1}{2} x$
16385	Solve for x	-1/2x=-6-y	$- \frac{1}{2} x = - 6 - y$
16386	Solve for X	1/(2X)+1/(3X)=1/(5X)	$\frac{1}{2 X} + \frac{1}{3 X} = \frac{1}{5 X}$
16387	Solve for x	1/3*(2x-3a)=2(x+a)	$\frac{1}{3} \cdot (2 x - 3 a) = 2 (x + a)$
16388	Solve for x	\|8x-10/5\|=4	$\| 8 x - \frac{10}{5} \| = 4$
16389	Solve for x	\|9-16x\|=-4	$\| 9 - 16 x \| = - 4$
16390	Solve for x	\|x+2\|+5=11	$\| x + 2 \| + 5 = 11$
16391	Solve for x	\|x+2\|=\|2x-1\|	$\| x + 2 \| = \| 2 x - 1 \|$
16392	Solve for x	\|x+3\|+9=3	$\| x + 3 \| + 9 = 3$
16393	Solve for x	\|x+3\|-4=8	$\| x + 3 \| - 4 = 8$
16394	Solve for x	\|x+5\|-4=21	$\| x + 5 \| - 4 = 21$
16395	Solve for x	\|x-1\|=30	$\| x - 1 \| = 30$
16396	Solve for x	\|x-1\|=-8	$\| x - 1 \| = - 8$
16397	Solve for x	\|x-5\|+2=3	$\| x - 5 \| + 2 = 3$
16398	Solve for x	\|x-5\|=\|2x+1\|	$\| x - 5 \| = \| 2 x + 1 \|$
16399	Solve for x	\|x-5\|=10	$\| x - 5 \| = 10$
16400	Solve for x	\|x-5\|=-7	$\| x - 5 \| = - 7$