x^10+31b^5x^5-32b^10=0

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Solution for x^10+31b^5x^5-32b^10=0 equation:


Simplifying
x10 + 31b5x5 + -32b10 = 0

Reorder the terms:
31b5x5 + -32b10 + x10 = 0

Solving
31b5x5 + -32b10 + x10 = 0

Solving for variable 'b'.

Factor a trinomial.
(-32b5 + -1x5)(b5 + -1x5) = 0

Subproblem 1

Set the factor '(-32b5 + -1x5)' equal to zero and attempt to solve: Simplifying -32b5 + -1x5 = 0 Solving -32b5 + -1x5 = 0 Move all terms containing b to the left, all other terms to the right. Add 'x5' to each side of the equation. -32b5 + -1x5 + x5 = 0 + x5 Combine like terms: -1x5 + x5 = 0 -32b5 + 0 = 0 + x5 -32b5 = 0 + x5 Remove the zero: -32b5 = x5 Divide each side by '-32'. b5 = -0.03125x5 Simplifying b5 = -0.03125x5 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 '(b5 + -1x5)' equal to zero and attempt to solve: Simplifying b5 + -1x5 = 0 Solving b5 + -1x5 = 0 Move all terms containing b to the left, all other terms to the right. Add 'x5' to each side of the equation. b5 + -1x5 + x5 = 0 + x5 Combine like terms: -1x5 + x5 = 0 b5 + 0 = 0 + x5 b5 = 0 + x5 Remove the zero: b5 = x5 Simplifying b5 = x5 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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