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Simplifying x8 + 15b4x4 + -16b8 = 0 Reorder the terms: 15b4x4 + -16b8 + x8 = 0 Solving 15b4x4 + -16b8 + x8 = 0 Solving for variable 'b'. Factor a trinomial. (-16b4 + -1x4)(b4 + -1x4) = 0 Factor a difference between two squares. (-16b4 + -1x4)((b2 + x2)(b2 + -1x2)) = 0 Factor a difference between two squares. (-16b4 + -1x4)((b2 + x2)((b + x)(b + -1x))) = 0Subproblem 1
Set the factor '(-16b4 + -1x4)' equal to zero and attempt to solve: Simplifying -16b4 + -1x4 = 0 Solving -16b4 + -1x4 = 0 Move all terms containing b to the left, all other terms to the right. Add 'x4' to each side of the equation. -16b4 + -1x4 + x4 = 0 + x4 Combine like terms: -1x4 + x4 = 0 -16b4 + 0 = 0 + x4 -16b4 = 0 + x4 Remove the zero: -16b4 = x4 Divide each side by '-16'. b4 = -0.0625x4 Simplifying b4 = -0.0625x4 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 '(b2 + x2)' equal to zero and attempt to solve: Simplifying b2 + x2 = 0 Solving b2 + x2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-1x2' to each side of the equation. b2 + x2 + -1x2 = 0 + -1x2 Combine like terms: x2 + -1x2 = 0 b2 + 0 = 0 + -1x2 b2 = 0 + -1x2 Remove the zero: b2 = -1x2 Simplifying b2 = -1x2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(b + x)' equal to zero and attempt to solve: Simplifying b + x = 0 Solving b + x = 0 Move all terms containing b to the left, all other terms to the right. Add '-1x' to each side of the equation. b + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 b + 0 = 0 + -1x b = 0 + -1x Remove the zero: b = -1x Simplifying b = -1xSubproblem 4
Set the factor '(b + -1x)' equal to zero and attempt to solve: Simplifying b + -1x = 0 Solving b + -1x = 0 Move all terms containing b to the left, all other terms to the right. Add 'x' to each side of the equation. b + -1x + x = 0 + x Combine like terms: -1x + x = 0 b + 0 = 0 + x b = 0 + x Remove the zero: b = x Simplifying b = xSolution
b = {-1x, x}
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