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Simplifying 2br3 + -2b3r = 0 Solving 2br3 + -2b3r = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2br'. 2br(r2 + -1b2) = 0 Factor a difference between two squares. 2br((r + b)(r + -1b)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'br' equal to zero and attempt to solve: Simplifying br = 0 Solving br = 0 Move all terms containing b to the left, all other terms to the right. Simplifying br = 0 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 '(r + b)' equal to zero and attempt to solve: Simplifying r + b = 0 Reorder the terms: b + r = 0 Solving b + r = 0 Move all terms containing b to the left, all other terms to the right. Add '-1r' to each side of the equation. b + r + -1r = 0 + -1r Combine like terms: r + -1r = 0 b + 0 = 0 + -1r b = 0 + -1r Remove the zero: b = -1r Simplifying b = -1rSubproblem 3
Set the factor '(r + -1b)' equal to zero and attempt to solve: Simplifying r + -1b = 0 Reorder the terms: -1b + r = 0 Solving -1b + r = 0 Move all terms containing b to the left, all other terms to the right. Add '-1r' to each side of the equation. -1b + r + -1r = 0 + -1r Combine like terms: r + -1r = 0 -1b + 0 = 0 + -1r -1b = 0 + -1r Remove the zero: -1b = -1r Divide each side by '-1'. b = r Simplifying b = rSolution
b = {-1r, r}
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