=9x^3+30x^2+24x

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Solution for =9x^3+30x^2+24x equation: 


Simplifying
0 = 9x3 + 30x2 + 24x

Reorder the terms:
0 = 24x + 30x2 + 9x3

Solving
0 = 24x + 30x2 + 9x3

Solving for variable 'x'.
Remove the zero:
-24x + -30x2 + -9x3 = 24x + 30x2 + 9x3 + -24x + -30x2 + -9x3

Reorder the terms:
-24x + -30x2 + -9x3 = 24x + -24x + 30x2 + -30x2 + 9x3 + -9x3

Combine like terms: 24x + -24x = 0
-24x + -30x2 + -9x3 = 0 + 30x2 + -30x2 + 9x3 + -9x3
-24x + -30x2 + -9x3 = 30x2 + -30x2 + 9x3 + -9x3

Combine like terms: 30x2 + -30x2 = 0
-24x + -30x2 + -9x3 = 0 + 9x3 + -9x3
-24x + -30x2 + -9x3 = 9x3 + -9x3

Combine like terms: 9x3 + -9x3 = 0
-24x + -30x2 + -9x3 = 0

Factor out the Greatest Common Factor (GCF), '-3x'.
-3x(8 + 10x + 3x2) = 0

Factor a trinomial.
-3x((2 + x)(4 + 3x)) = 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 '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2

Subproblem 3
Set the factor '(4 + 3x)' equal to zero and attempt to solve:

Simplifying
4 + 3x = 0

Solving
4 + 3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 0 + -4
3x = 0 + -4

Combine like terms: 0 + -4 = -4
3x = -4

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333
Solution
x = {0, -2, -1.333333333}

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