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Simplifying 20b2 + -17bv + -63v2 = 0 Reorder the terms: -17bv + 20b2 + -63v2 = 0 Solving -17bv + 20b2 + -63v2 = 0 Solving for variable 'b'. Factor a trinomial. (4b + -9v)(5b + 7v) = 0Subproblem 1
Set the factor '(4b + -9v)' equal to zero and attempt to solve: Simplifying 4b + -9v = 0 Solving 4b + -9v = 0 Move all terms containing b to the left, all other terms to the right. Add '9v' to each side of the equation. 4b + -9v + 9v = 0 + 9v Combine like terms: -9v + 9v = 0 4b + 0 = 0 + 9v 4b = 0 + 9v Remove the zero: 4b = 9v Divide each side by '4'. b = 2.25v Simplifying b = 2.25vSubproblem 2
Set the factor '(5b + 7v)' equal to zero and attempt to solve: Simplifying 5b + 7v = 0 Solving 5b + 7v = 0 Move all terms containing b to the left, all other terms to the right. Add '-7v' to each side of the equation. 5b + 7v + -7v = 0 + -7v Combine like terms: 7v + -7v = 0 5b + 0 = 0 + -7v 5b = 0 + -7v Remove the zero: 5b = -7v Divide each side by '5'. b = -1.4v Simplifying b = -1.4vSolution
b = {2.25v, -1.4v}
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