9x^2(3x^2+x-2)=

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


Simplifying
9x2(3x2 + x + -2) = 0

Reorder the terms:
9x2(-2 + x + 3x2) = 0
(-2 * 9x2 + x * 9x2 + 3x2 * 9x2) = 0
(-18x2 + 9x3 + 27x4) = 0

Solving
-18x2 + 9x3 + 27x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9x2'.
9x2(-2 + x + 3x2) = 0

Factor a trinomial.
9x2((-1 + -1x)(2 + -3x)) = 0

Ignore the factor 9.

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 '(-1 + -1x)' equal to zero and attempt to solve:

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

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

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

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

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

Simplifying
x = -1

Subproblem 3
Set the factor '(2 + -3x)' equal to zero and attempt to solve:

Simplifying
2 + -3x = 0

Solving
2 + -3x = 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 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667
Solution
x = {0, -1, 0.6666666667}

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