(x^6)-(4*x^3)+4=16384

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Solution for (x^6)-(4*x^3)+4=16384 equation:


Simplifying
(x6) + -1(4x3) + 4 = 16384
x6 + -1(4x3) + 4 = 16384

Remove parenthesis around (4x3)
x6 + -1 * 4x3 + 4 = 16384

Multiply -1 * 4
x6 + -4x3 + 4 = 16384

Reorder the terms:
4 + -4x3 + x6 = 16384

Solving
4 + -4x3 + x6 = 16384

Solving for variable 'x'.

Reorder the terms:
4 + -16384 + -4x3 + x6 = 16384 + -16384

Combine like terms: 4 + -16384 = -16380
-16380 + -4x3 + x6 = 16384 + -16384

Combine like terms: 16384 + -16384 = 0
-16380 + -4x3 + x6 = 0

Factor a trinomial.
(-126 + -1x3)(130 + -1x3) = 0

Subproblem 1

Set the factor '(-126 + -1x3)' equal to zero and attempt to solve: Simplifying -126 + -1x3 = 0 Solving -126 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '126' to each side of the equation. -126 + 126 + -1x3 = 0 + 126 Combine like terms: -126 + 126 = 0 0 + -1x3 = 0 + 126 -1x3 = 0 + 126 Combine like terms: 0 + 126 = 126 -1x3 = 126 Divide each side by '-1'. x3 = -126 Simplifying x3 = -126 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 '(130 + -1x3)' equal to zero and attempt to solve: Simplifying 130 + -1x3 = 0 Solving 130 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-130' to each side of the equation. 130 + -130 + -1x3 = 0 + -130 Combine like terms: 130 + -130 = 0 0 + -1x3 = 0 + -130 -1x3 = 0 + -130 Combine like terms: 0 + -130 = -130 -1x3 = -130 Divide each side by '-1'. x3 = 130 Simplifying x3 = 130 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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