x^8+x^4-12=0

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Solution for x^8+x^4-12=0 equation:


Simplifying
x8 + x4 + -12 = 0

Reorder the terms:
-12 + x4 + x8 = 0

Solving
-12 + x4 + x8 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + -1x4)(3 + -1x4) = 0

Subproblem 1

Set the factor '(-4 + -1x4)' equal to zero and attempt to solve: Simplifying -4 + -1x4 = 0 Solving -4 + -1x4 = 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 + -1x4 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x4 = 0 + 4 -1x4 = 0 + 4 Combine like terms: 0 + 4 = 4 -1x4 = 4 Divide each side by '-1'. x4 = -4 Simplifying x4 = -4 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 '(3 + -1x4)' equal to zero and attempt to solve: Simplifying 3 + -1x4 = 0 Solving 3 + -1x4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x4 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x4 = 0 + -3 -1x4 = 0 + -3 Combine like terms: 0 + -3 = -3 -1x4 = -3 Divide each side by '-1'. x4 = 3 Simplifying x4 = 3 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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