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

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


Simplifying
-3x3(x3 + 8x) + 9x6 = 0

Reorder the terms:
-3x3(8x + x3) + 9x6 = 0
(8x * -3x3 + x3 * -3x3) + 9x6 = 0
(-24x4 + -3x6) + 9x6 = 0

Combine like terms: -3x6 + 9x6 = 6x6
-24x4 + 6x6 = 0

Solving
-24x4 + 6x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x4'.
6x4(-4 + x2) = 0

Factor a difference between two squares.
6x4((2 + x)(-2 + x)) = 0

Ignore the factor 6.

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 '(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 '(-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

Solution

x = {-2, 2}

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