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Simplifying 40v2 + -26vb + -30b2 = 0 Reorder the terms: -26bv + -30b2 + 40v2 = 0 Solving -26bv + -30b2 + 40v2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2'. 2(-13bv + -15b2 + 20v2) = 0 Factor a trinomial. 2((-3b + -5v)(5b + -4v)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3b + -5v)' equal to zero and attempt to solve: Simplifying -3b + -5v = 0 Solving -3b + -5v = 0 Move all terms containing b to the left, all other terms to the right. Add '5v' to each side of the equation. -3b + -5v + 5v = 0 + 5v Combine like terms: -5v + 5v = 0 -3b + 0 = 0 + 5v -3b = 0 + 5v Remove the zero: -3b = 5v Divide each side by '-3'. b = -1.666666667v Simplifying b = -1.666666667vSubproblem 2
Set the factor '(5b + -4v)' equal to zero and attempt to solve: Simplifying 5b + -4v = 0 Solving 5b + -4v = 0 Move all terms containing b to the left, all other terms to the right. Add '4v' to each side of the equation. 5b + -4v + 4v = 0 + 4v Combine like terms: -4v + 4v = 0 5b + 0 = 0 + 4v 5b = 0 + 4v Remove the zero: 5b = 4v Divide each side by '5'. b = 0.8v Simplifying b = 0.8vSolution
b = {-1.666666667v, 0.8v}
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