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Simplifying 20b2 + -17br + -63r2 = 0 Reorder the terms: -17br + 20b2 + -63r2 = 0 Solving -17br + 20b2 + -63r2 = 0 Solving for variable 'b'. Factor a trinomial. (4b + -9r)(5b + 7r) = 0Subproblem 1
Set the factor '(4b + -9r)' equal to zero and attempt to solve: Simplifying 4b + -9r = 0 Solving 4b + -9r = 0 Move all terms containing b to the left, all other terms to the right. Add '9r' to each side of the equation. 4b + -9r + 9r = 0 + 9r Combine like terms: -9r + 9r = 0 4b + 0 = 0 + 9r 4b = 0 + 9r Remove the zero: 4b = 9r Divide each side by '4'. b = 2.25r Simplifying b = 2.25rSubproblem 2
Set the factor '(5b + 7r)' equal to zero and attempt to solve: Simplifying 5b + 7r = 0 Solving 5b + 7r = 0 Move all terms containing b to the left, all other terms to the right. Add '-7r' to each side of the equation. 5b + 7r + -7r = 0 + -7r Combine like terms: 7r + -7r = 0 5b + 0 = 0 + -7r 5b = 0 + -7r Remove the zero: 5b = -7r Divide each side by '5'. b = -1.4r Simplifying b = -1.4rSolution
b = {2.25r, -1.4r}
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