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Simplifying 2b2 + 4br + 2r2 = 0 Reorder the terms: 4br + 2b2 + 2r2 = 0 Solving 4br + 2b2 + 2r2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2'. 2(2br + b2 + r2) = 0 Factor a trinomial. 2((b + r)(b + r)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(b + r)' equal to zero and attempt to solve: Simplifying 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 2
Set the factor '(b + r)' equal to zero and attempt to solve: Simplifying 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 = -1rSolution
b = {-1r, -1r}
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