0=-x^3+x^2+56x

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Solution for 0=-x^3+x^2+56x equation: 


Simplifying
0 = -1x3 + x2 + 56x

Reorder the terms:
0 = 56x + x2 + -1x3

Solving
0 = 56x + x2 + -1x3

Solving for variable 'x'.
Remove the zero:
-56x + -1x2 + x3 = 56x + x2 + -1x3 + -56x + -1x2 + x3

Reorder the terms:
-56x + -1x2 + x3 = 56x + -56x + x2 + -1x2 + -1x3 + x3

Combine like terms: 56x + -56x = 0
-56x + -1x2 + x3 = 0 + x2 + -1x2 + -1x3 + x3
-56x + -1x2 + x3 = x2 + -1x2 + -1x3 + x3

Combine like terms: x2 + -1x2 = 0
-56x + -1x2 + x3 = 0 + -1x3 + x3
-56x + -1x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
-56x + -1x2 + x3 = 0

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

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


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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