x^6-2x^3b^3+b^6=0

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Solution for x^6-2x^3b^3+b^6=0 equation:


Simplifying
x6 + -2x3b3 + b6 = 0

Reorder the terms:
-2b3x3 + b6 + x6 = 0

Solving
-2b3x3 + b6 + x6 = 0

Solving for variable 'b'.

Factor a trinomial.
(b3 + -1x3)(b3 + -1x3) = 0

Subproblem 1

Set the factor '(b3 + -1x3)' equal to zero and attempt to solve: Simplifying b3 + -1x3 = 0 Solving b3 + -1x3 = 0 Move all terms containing b to the left, all other terms to the right. Add 'x3' to each side of the equation. b3 + -1x3 + x3 = 0 + x3 Combine like terms: -1x3 + x3 = 0 b3 + 0 = 0 + x3 b3 = 0 + x3 Remove the zero: b3 = x3 Simplifying b3 = x3 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 '(b3 + -1x3)' equal to zero and attempt to solve: Simplifying b3 + -1x3 = 0 Solving b3 + -1x3 = 0 Move all terms containing b to the left, all other terms to the right. Add 'x3' to each side of the equation. b3 + -1x3 + x3 = 0 + x3 Combine like terms: -1x3 + x3 = 0 b3 + 0 = 0 + x3 b3 = 0 + x3 Remove the zero: b3 = x3 Simplifying b3 = x3 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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