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Algebra Examples
x3=x2-2x3=x2−2
Step 1
Multiply both sides by 33.
x3⋅3=(x2-2)⋅3x3⋅3=(x2−2)⋅3
Step 2
Step 2.1
Simplify the left side.
Step 2.1.1
Cancel the common factor of 33.
Step 2.1.1.1
Cancel the common factor.
x3⋅3=(x2-2)⋅3x3⋅3=(x2−2)⋅3
Step 2.1.1.2
Rewrite the expression.
x=(x2-2)⋅3x=(x2−2)⋅3
x=(x2-2)⋅3x=(x2−2)⋅3
x=(x2-2)⋅3x=(x2−2)⋅3
Step 2.2
Simplify the right side.
Step 2.2.1
Simplify (x2-2)⋅3(x2−2)⋅3.
Step 2.2.1.1
Simplify terms.
Step 2.2.1.1.1
Apply the distributive property.
x=x2⋅3-2⋅3x=x2⋅3−2⋅3
Step 2.2.1.1.2
Combine x2x2 and 33.
x=x⋅32-2⋅3x=x⋅32−2⋅3
Step 2.2.1.1.3
Multiply -2−2 by 33.
x=x⋅32-6x=x⋅32−6
x=x⋅32-6x=x⋅32−6
Step 2.2.1.2
Move 33 to the left of xx.
x=3x2-6x=3x2−6
x=3x2-6x=3x2−6
x=3x2-6x=3x2−6
x=3x2-6x=3x2−6
Step 3
Step 3.1
Move all terms containing xx to the left side of the equation.
Step 3.1.1
Subtract 3x23x2 from both sides of the equation.
x-3x2=-6x−3x2=−6
Step 3.1.2
To write xx as a fraction with a common denominator, multiply by 2222.
x⋅22-3x2=-6x⋅22−3x2=−6
Step 3.1.3
Combine xx and 2222.
x⋅22-3x2=-6x⋅22−3x2=−6
Step 3.1.4
Combine the numerators over the common denominator.
x⋅2-3x2=-6x⋅2−3x2=−6
Step 3.1.5
Simplify the numerator.
Step 3.1.5.1
Move 22 to the left of xx.
2⋅x-3x2=-62⋅x−3x2=−6
Step 3.1.5.2
Subtract 3x3x from 2x2x.
-x2=-6−x2=−6
-x2=-6−x2=−6
Step 3.1.6
Move the negative in front of the fraction.
-x2=-6−x2=−6
-x2=-6−x2=−6
Step 3.2
Multiply both sides of the equation by -2−2.
-2(-x2)=-2⋅-6−2(−x2)=−2⋅−6
Step 3.3
Simplify both sides of the equation.
Step 3.3.1
Simplify the left side.
Step 3.3.1.1
Simplify -2(-x2)−2(−x2).
Step 3.3.1.1.1
Cancel the common factor of 22.
Step 3.3.1.1.1.1
Move the leading negative in -x2−x2 into the numerator.
-2-x2=-2⋅-6−2−x2=−2⋅−6
Step 3.3.1.1.1.2
Factor 22 out of -2−2.
2(-1)-x2=-2⋅-62(−1)−x2=−2⋅−6
Step 3.3.1.1.1.3
Cancel the common factor.
2⋅-1-x2=-2⋅-62⋅−1−x2=−2⋅−6
Step 3.3.1.1.1.4
Rewrite the expression.
--x=-2⋅-6−−x=−2⋅−6
--x=-2⋅-6−−x=−2⋅−6
Step 3.3.1.1.2
Multiply.
Step 3.3.1.1.2.1
Multiply -1−1 by -1−1.
1x=-2⋅-61x=−2⋅−6
Step 3.3.1.1.2.2
Multiply xx by 11.
x=-2⋅-6x=−2⋅−6
x=-2⋅-6x=−2⋅−6
x=-2⋅-6x=−2⋅−6
x=-2⋅-6x=−2⋅−6
Step 3.3.2
Simplify the right side.
Step 3.3.2.1
Multiply -2−2 by -6−6.
x=12x=12
x=12x=12
x=12x=12
x=12x=12