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Simplifying 56b2 + -19bv + -15v2 = 0 Reorder the terms: -19bv + 56b2 + -15v2 = 0 Solving -19bv + 56b2 + -15v2 = 0 Solving for variable 'b'. Factor a trinomial. (7b + -5v)(8b + 3v) = 0Subproblem 1
Set the factor '(7b + -5v)' equal to zero and attempt to solve: Simplifying 7b + -5v = 0 Solving 7b + -5v = 0 Move all terms containing b to the left, all other terms to the right. Add '5v' to each side of the equation. 7b + -5v + 5v = 0 + 5v Combine like terms: -5v + 5v = 0 7b + 0 = 0 + 5v 7b = 0 + 5v Remove the zero: 7b = 5v Divide each side by '7'. b = 0.7142857143v Simplifying b = 0.7142857143vSubproblem 2
Set the factor '(8b + 3v)' equal to zero and attempt to solve: Simplifying 8b + 3v = 0 Solving 8b + 3v = 0 Move all terms containing b to the left, all other terms to the right. Add '-3v' to each side of the equation. 8b + 3v + -3v = 0 + -3v Combine like terms: 3v + -3v = 0 8b + 0 = 0 + -3v 8b = 0 + -3v Remove the zero: 8b = -3v Divide each side by '8'. b = -0.375v Simplifying b = -0.375vSolution
b = {0.7142857143v, -0.375v}
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