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Simplifying 56v2 + 19vb + -15b2 = 0 Reorder the terms: 19bv + -15b2 + 56v2 = 0 Solving 19bv + -15b2 + 56v2 = 0 Solving for variable 'b'. Factor a trinomial. (-5b + -7v)(3b + -8v) = 0Subproblem 1
Set the factor '(-5b + -7v)' equal to zero and attempt to solve: Simplifying -5b + -7v = 0 Solving -5b + -7v = 0 Move all terms containing b to the left, all other terms to the right. Add '7v' to each side of the equation. -5b + -7v + 7v = 0 + 7v Combine like terms: -7v + 7v = 0 -5b + 0 = 0 + 7v -5b = 0 + 7v Remove the zero: -5b = 7v Divide each side by '-5'. b = -1.4v Simplifying b = -1.4vSubproblem 2
Set the factor '(3b + -8v)' equal to zero and attempt to solve: Simplifying 3b + -8v = 0 Solving 3b + -8v = 0 Move all terms containing b to the left, all other terms to the right. Add '8v' to each side of the equation. 3b + -8v + 8v = 0 + 8v Combine like terms: -8v + 8v = 0 3b + 0 = 0 + 8v 3b = 0 + 8v Remove the zero: 3b = 8v Divide each side by '3'. b = 2.666666667v Simplifying b = 2.666666667vSolution
b = {-1.4v, 2.666666667v}
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