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Simplifying 8v2 + 18vb + -5b2 = 0 Reorder the terms: 18bv + -5b2 + 8v2 = 0 Solving 18bv + -5b2 + 8v2 = 0 Solving for variable 'b'. Factor a trinomial. (-5b + -2v)(b + -4v) = 0Subproblem 1
Set the factor '(-5b + -2v)' equal to zero and attempt to solve: Simplifying -5b + -2v = 0 Solving -5b + -2v = 0 Move all terms containing b to the left, all other terms to the right. Add '2v' to each side of the equation. -5b + -2v + 2v = 0 + 2v Combine like terms: -2v + 2v = 0 -5b + 0 = 0 + 2v -5b = 0 + 2v Remove the zero: -5b = 2v Divide each side by '-5'. b = -0.4v Simplifying b = -0.4vSubproblem 2
Set the factor '(b + -4v)' equal to zero and attempt to solve: Simplifying b + -4v = 0 Solving b + -4v = 0 Move all terms containing b to the left, all other terms to the right. Add '4v' to each side of the equation. b + -4v + 4v = 0 + 4v Combine like terms: -4v + 4v = 0 b + 0 = 0 + 4v b = 0 + 4v Remove the zero: b = 4v Simplifying b = 4vSolution
b = {-0.4v, 4v}
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