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Simplifying x2 = x2 + 2b + -2bx2 Reorder the terms: x2 = 2b + -2bx2 + x2 Add '-1x2' to each side of the equation. x2 + -1x2 = 2b + -2bx2 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 2b + -2bx2 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 2b + -2bx2 + 0 0 = 2b + -2bx2 Solving 0 = 2b + -2bx2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 0 + -2b = 2b + -2b + -2bx2 Remove the zero: -2b = 2b + -2b + -2bx2 Combine like terms: 2b + -2b = 0 -2b = 0 + -2bx2 -2b = -2bx2 Add '2bx2' to each side of the equation. -2b + 2bx2 = -2bx2 + 2bx2 Combine like terms: -2bx2 + 2bx2 = 0 -2b + 2bx2 = 0 Factor out the Greatest Common Factor (GCF), '2b'. 2b(-1 + x2) = 0 Factor a difference between two squares. 2b((1 + x)(-1 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b = 0Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Add '-1x' to each side of the equation. x + -1x = -1 + -1x Combine like terms: x + -1x = 0 0 = -1 + -1x Simplifying 0 = -1 + -1x 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 '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 0 Move all terms containing b to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Add '-1x' to each side of the equation. x + -1x = 1 + -1x Combine like terms: x + -1x = 0 0 = 1 + -1x Simplifying 0 = 1 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
b = {0}
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