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Simplifying 30v2 + 17vb + -35b2 = 0 Reorder the terms: 17bv + -35b2 + 30v2 = 0 Solving 17bv + -35b2 + 30v2 = 0 Solving for variable 'b'. Factor a trinomial. (-7b + -5v)(5b + -6v) = 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 '(5b + -6v)' equal to zero and attempt to solve: Simplifying 5b + -6v = 0 Solving 5b + -6v = 0 Move all terms containing b to the left, all other terms to the right. Add '6v' to each side of the equation. 5b + -6v + 6v = 0 + 6v Combine like terms: -6v + 6v = 0 5b + 0 = 0 + 6v 5b = 0 + 6v Remove the zero: 5b = 6v Divide each side by '5'. b = 1.2v Simplifying b = 1.2vSolution
b = {-0.7142857143v, 1.2v}
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