0=8x^6+63x^3-8

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Solution for 0=8x^6+63x^3-8 equation:


Simplifying
0 = 8x6 + 63x3 + -8

Reorder the terms:
0 = -8 + 63x3 + 8x6

Solving
0 = -8 + 63x3 + 8x6

Solving for variable 'x'.

Combine like terms: 0 + 8 = 8
8 + -63x3 + -8x6 = -8 + 63x3 + 8x6 + 8 + -63x3 + -8x6

Reorder the terms:
8 + -63x3 + -8x6 = -8 + 8 + 63x3 + -63x3 + 8x6 + -8x6

Combine like terms: -8 + 8 = 0
8 + -63x3 + -8x6 = 0 + 63x3 + -63x3 + 8x6 + -8x6
8 + -63x3 + -8x6 = 63x3 + -63x3 + 8x6 + -8x6

Combine like terms: 63x3 + -63x3 = 0
8 + -63x3 + -8x6 = 0 + 8x6 + -8x6
8 + -63x3 + -8x6 = 8x6 + -8x6

Combine like terms: 8x6 + -8x6 = 0
8 + -63x3 + -8x6 = 0

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

Subproblem 1

Set the factor '(1 + -8x3)' equal to zero and attempt to solve: Simplifying 1 + -8x3 = 0 Solving 1 + -8x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -8x3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8x3 = 0 + -1 -8x3 = 0 + -1 Combine like terms: 0 + -1 = -1 -8x3 = -1 Divide each side by '-8'. x3 = 0.125 Simplifying x3 = 0.125 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 '(8 + x3)' equal to zero and attempt to solve: Simplifying 8 + x3 = 0 Solving 8 + x3 = 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 + x3 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x3 = 0 + -8 x3 = 0 + -8 Combine like terms: 0 + -8 = -8 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. The solution to this equation could not be determined.

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