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Simplifying 12v2 + -22vb + -70b2 = 0 Reorder the terms: -22bv + -70b2 + 12v2 = 0 Solving -22bv + -70b2 + 12v2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2'. 2(-11bv + -35b2 + 6v2) = 0 Factor a trinomial. 2((-5b + -3v)(7b + -2v)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5b + -3v)' equal to zero and attempt to solve: Simplifying -5b + -3v = 0 Solving -5b + -3v = 0 Move all terms containing b to the left, all other terms to the right. Add '3v' to each side of the equation. -5b + -3v + 3v = 0 + 3v Combine like terms: -3v + 3v = 0 -5b + 0 = 0 + 3v -5b = 0 + 3v Remove the zero: -5b = 3v Divide each side by '-5'. b = -0.6v Simplifying b = -0.6vSubproblem 2
Set the factor '(7b + -2v)' equal to zero and attempt to solve: Simplifying 7b + -2v = 0 Solving 7b + -2v = 0 Move all terms containing b to the left, all other terms to the right. Add '2v' to each side of the equation. 7b + -2v + 2v = 0 + 2v Combine like terms: -2v + 2v = 0 7b + 0 = 0 + 2v 7b = 0 + 2v Remove the zero: 7b = 2v Divide each side by '7'. b = 0.2857142857v Simplifying b = 0.2857142857vSolution
b = {-0.6v, 0.2857142857v}
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