0=x^3+1x^2-30x

Solution for 0=x^3+1x^2-30x equation:

Simplifying
0 = x3 + 1x2 + -30x

Reorder the terms:
0 = -30x + 1x2 + x3

Solving
0 = -30x + 1x2 + x3

Solving for variable 'x'.
Remove the zero:
30x + -1x2 + -1x3 = -30x + 1x2 + x3 + 30x + -1x2 + -1x3

Reorder the terms:
30x + -1x2 + -1x3 = -30x + 30x + 1x2 + -1x2 + x3 + -1x3

Combine like terms: -30x + 30x = 0
30x + -1x2 + -1x3 = 0 + 1x2 + -1x2 + x3 + -1x3
30x + -1x2 + -1x3 = 1x2 + -1x2 + x3 + -1x3

Combine like terms: 1x2 + -1x2 = 0
30x + -1x2 + -1x3 = 0 + x3 + -1x3
30x + -1x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
30x + -1x2 + -1x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(30 + -1x + -1x2) = 0

Factor a trinomial.
x((5 + -1x)(6 + x)) = 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 '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Subproblem 3
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Solution
x = {0, 5, -6}