6x^2+9x^3=-6x^2

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Solution for 6x^2+9x^3=-6x^2 equation: 


Simplifying
6x2 + 9x3 = -6x2

Solving
6x2 + 9x3 = -6x2

Solving for variable 'x'.

Reorder the terms:
6x2 + 6x2 + 9x3 = -6x2 + 6x2

Combine like terms: 6x2 + 6x2 = 12x2
12x2 + 9x3 = -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
12x2 + 9x3 = 0

Factor out the Greatest Common Factor (GCF), '3x2'.
3x2(4 + 3x) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
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, -1.333333333}

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