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Simplifying 56b2 + 23br + -63r2 = 0 Reorder the terms: 23br + 56b2 + -63r2 = 0 Solving 23br + 56b2 + -63r2 = 0 Solving for variable 'b'. Factor a trinomial. (8b + -7r)(7b + 9r) = 0Subproblem 1
Set the factor '(8b + -7r)' equal to zero and attempt to solve: Simplifying 8b + -7r = 0 Solving 8b + -7r = 0 Move all terms containing b to the left, all other terms to the right. Add '7r' to each side of the equation. 8b + -7r + 7r = 0 + 7r Combine like terms: -7r + 7r = 0 8b + 0 = 0 + 7r 8b = 0 + 7r Remove the zero: 8b = 7r Divide each side by '8'. b = 0.875r Simplifying b = 0.875rSubproblem 2
Set the factor '(7b + 9r)' equal to zero and attempt to solve: Simplifying 7b + 9r = 0 Solving 7b + 9r = 0 Move all terms containing b to the left, all other terms to the right. Add '-9r' to each side of the equation. 7b + 9r + -9r = 0 + -9r Combine like terms: 9r + -9r = 0 7b + 0 = 0 + -9r 7b = 0 + -9r Remove the zero: 7b = -9r Divide each side by '7'. b = -1.285714286r Simplifying b = -1.285714286rSolution
b = {0.875r, -1.285714286r}
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