-2x^3(-9x^3-6x^2+8x)=

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Solution for -2x^3(-9x^3-6x^2+8x)= equation: 


Simplifying
-2x3(-9x3 + -6x2 + 8x) = 0

Reorder the terms:
-2x3(8x + -6x2 + -9x3) = 0
(8x * -2x3 + -6x2 * -2x3 + -9x3 * -2x3) = 0
(-16x4 + 12x5 + 18x6) = 0

Solving
-16x4 + 12x5 + 18x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x4'.
2x4(-8 + 6x + 9x2) = 0

Factor a trinomial.
2x4((-4 + -3x)(2 + -3x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x4' equal to zero and attempt to solve:

Simplifying
x4 = 0

Solving
x4 = 0

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

Simplifying
x4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

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

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 = {-1.333333333, 0.6666666667}

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