x^6-12x^3+20=0

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Solution for x^6-12x^3+20=0 equation:


Simplifying
x6 + -12x3 + 20 = 0

Reorder the terms:
20 + -12x3 + x6 = 0

Solving
20 + -12x3 + x6 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + -1x3)(10 + -1x3) = 0

Subproblem 1

Set the factor '(2 + -1x3)' equal to zero and attempt to solve: Simplifying 2 + -1x3 = 0 Solving 2 + -1x3 = 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 + -1x3 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x3 = 0 + -2 -1x3 = 0 + -2 Combine like terms: 0 + -2 = -2 -1x3 = -2 Divide each side by '-1'. 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.

Subproblem 2

Set the factor '(10 + -1x3)' equal to zero and attempt to solve: Simplifying 10 + -1x3 = 0 Solving 10 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x3 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x3 = 0 + -10 -1x3 = 0 + -10 Combine like terms: 0 + -10 = -10 -1x3 = -10 Divide each side by '-1'. x3 = 10 Simplifying x3 = 10 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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