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Simplifying (b2 + -1d2)(b2 + d2) = 0 Multiply (b2 + -1d2) * (b2 + d2) (b2(b2 + d2) + -1d2 * (b2 + d2)) = 0 ((b2 * b2 + d2 * b2) + -1d2 * (b2 + d2)) = 0 Reorder the terms: ((b2d2 + b4) + -1d2 * (b2 + d2)) = 0 ((b2d2 + b4) + -1d2 * (b2 + d2)) = 0 (b2d2 + b4 + (b2 * -1d2 + d2 * -1d2)) = 0 (b2d2 + b4 + (-1b2d2 + -1d4)) = 0 Reorder the terms: (b2d2 + -1b2d2 + b4 + -1d4) = 0 Combine like terms: b2d2 + -1b2d2 = 0 (0 + b4 + -1d4) = 0 (b4 + -1d4) = 0 Solving b4 + -1d4 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'd4' to each side of the equation. b4 + -1d4 + d4 = 0 + d4 Combine like terms: -1d4 + d4 = 0 b4 + 0 = 0 + d4 b4 = 0 + d4 Remove the zero: b4 = d4 Simplifying b4 = d4 Combine like terms: d4 + -1d4 = 0 b4 + -1d4 = 0 Factor a difference between two squares. (b2 + d2)(b2 + -1d2) = 0 Factor a difference between two squares. (b2 + d2)((b + d)(b + -1d)) = 0Subproblem 1
Set the factor '(b2 + d2)' equal to zero and attempt to solve: Simplifying b2 + d2 = 0 Solving b2 + d2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-1d2' to each side of the equation. b2 + d2 + -1d2 = 0 + -1d2 Combine like terms: d2 + -1d2 = 0 b2 + 0 = 0 + -1d2 b2 = 0 + -1d2 Remove the zero: b2 = -1d2 Simplifying b2 = -1d2 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 '(b + d)' equal to zero and attempt to solve: Simplifying b + d = 0 Solving b + d = 0 Move all terms containing b to the left, all other terms to the right. Add '-1d' to each side of the equation. b + d + -1d = 0 + -1d Combine like terms: d + -1d = 0 b + 0 = 0 + -1d b = 0 + -1d Remove the zero: b = -1d Simplifying b = -1dSubproblem 3
Set the factor '(b + -1d)' equal to zero and attempt to solve: Simplifying b + -1d = 0 Solving b + -1d = 0 Move all terms containing b to the left, all other terms to the right. Add 'd' to each side of the equation. b + -1d + d = 0 + d Combine like terms: -1d + d = 0 b + 0 = 0 + d b = 0 + d Remove the zero: b = d Simplifying b = dSolution
b = {-1d, d}
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