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Simplifying 56b2 + 23bv + -63v2 = 0 Reorder the terms: 23bv + 56b2 + -63v2 = 0 Solving 23bv + 56b2 + -63v2 = 0 Solving for variable 'b'. Factor a trinomial. (8b + -7v)(7b + 9v) = 0Subproblem 1
Set the factor '(8b + -7v)' equal to zero and attempt to solve: Simplifying 8b + -7v = 0 Solving 8b + -7v = 0 Move all terms containing b to the left, all other terms to the right. Add '7v' to each side of the equation. 8b + -7v + 7v = 0 + 7v Combine like terms: -7v + 7v = 0 8b + 0 = 0 + 7v 8b = 0 + 7v Remove the zero: 8b = 7v Divide each side by '8'. b = 0.875v Simplifying b = 0.875vSubproblem 2
Set the factor '(7b + 9v)' equal to zero and attempt to solve: Simplifying 7b + 9v = 0 Solving 7b + 9v = 0 Move all terms containing b to the left, all other terms to the right. Add '-9v' to each side of the equation. 7b + 9v + -9v = 0 + -9v Combine like terms: 9v + -9v = 0 7b + 0 = 0 + -9v 7b = 0 + -9v Remove the zero: 7b = -9v Divide each side by '7'. b = -1.285714286v Simplifying b = -1.285714286vSolution
b = {0.875v, -1.285714286v}
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