x^6+2x^3=48

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Solution for x^6+2x^3=48 equation:


Simplifying
x6 + 2x3 = 48

Reorder the terms:
2x3 + x6 = 48

Solving
2x3 + x6 = 48

Solving for variable 'x'.

Reorder the terms:
-48 + 2x3 + x6 = 48 + -48

Combine like terms: 48 + -48 = 0
-48 + 2x3 + x6 = 0

Factor a trinomial.
(-8 + -1x3)(6 + -1x3) = 0

Subproblem 1

Set the factor '(-8 + -1x3)' equal to zero and attempt to solve: Simplifying -8 + -1x3 = 0 Solving -8 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1x3 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x3 = 0 + 8 -1x3 = 0 + 8 Combine like terms: 0 + 8 = 8 -1x3 = 8 Divide each side by '-1'. x3 = -8 Simplifying x3 = -8 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 '(6 + -1x3)' equal to zero and attempt to solve: Simplifying 6 + -1x3 = 0 Solving 6 + -1x3 = 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 + -1x3 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x3 = 0 + -6 -1x3 = 0 + -6 Combine like terms: 0 + -6 = -6 -1x3 = -6 Divide each side by '-1'. 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. The solution to this equation could not be determined.

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