x^6+8x^3=-12

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Solution for x^6+8x^3=-12 equation:


Simplifying
x6 + 8x3 = -12

Reorder the terms:
8x3 + x6 = -12

Solving
8x3 + x6 = -12

Solving for variable 'x'.

Reorder the terms:
12 + 8x3 + x6 = -12 + 12

Combine like terms: -12 + 12 = 0
12 + 8x3 + x6 = 0

Factor a trinomial.
(6 + x3)(2 + x3) = 0

Subproblem 1

Set the factor '(6 + x3)' equal to zero and attempt to solve: Simplifying 6 + x3 = 0 Solving 6 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x3 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x3 = 0 + -6 x3 = 0 + -6 Combine like terms: 0 + -6 = -6 x3 = -6 Simplifying x3 = -6 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 + x3)' equal to zero and attempt to solve: Simplifying 2 + x3 = 0 Solving 2 + x3 = 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 + x3 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x3 = 0 + -2 x3 = 0 + -2 Combine like terms: 0 + -2 = -2 x3 = -2 Simplifying x3 = -2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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