3x^3=3x(x+56)

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Solution for 3x^3=3x(x+56) equation: 


Simplifying
3x3 = 3x(x + 56)

Reorder the terms:
3x3 = 3x(56 + x)
3x3 = (56 * 3x + x * 3x)
3x3 = (168x + 3x2)

Solving
3x3 = 168x + 3x2

Solving for variable 'x'.

Reorder the terms:
-168x + -3x2 + 3x3 = 168x + 3x2 + -168x + -3x2

Reorder the terms:
-168x + -3x2 + 3x3 = 168x + -168x + 3x2 + -3x2

Combine like terms: 168x + -168x = 0
-168x + -3x2 + 3x3 = 0 + 3x2 + -3x2
-168x + -3x2 + 3x3 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-168x + -3x2 + 3x3 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-56 + -1x + x2) = 0

Factor a trinomial.
3x((-7 + -1x)(8 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

Subproblem 3
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {0, -7, 8}

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