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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. (7b + -9r)(8b + 7r) = 0Subproblem 1
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 = 1.285714286rSubproblem 2
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 = -0.875rSolution
b = {1.285714286r, -0.875r}
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