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Simplifying 11b2 + -59bv + -42v2 = 0 Reorder the terms: -59bv + 11b2 + -42v2 = 0 Solving -59bv + 11b2 + -42v2 = 0 Solving for variable 'b'. Factor a trinomial. (b + -6v)(11b + 7v) = 0Subproblem 1
Set the factor '(b + -6v)' equal to zero and attempt to solve: Simplifying b + -6v = 0 Solving b + -6v = 0 Move all terms containing b to the left, all other terms to the right. Add '6v' to each side of the equation. b + -6v + 6v = 0 + 6v Combine like terms: -6v + 6v = 0 b + 0 = 0 + 6v b = 0 + 6v Remove the zero: b = 6v Simplifying b = 6vSubproblem 2
Set the factor '(11b + 7v)' equal to zero and attempt to solve: Simplifying 11b + 7v = 0 Solving 11b + 7v = 0 Move all terms containing b to the left, all other terms to the right. Add '-7v' to each side of the equation. 11b + 7v + -7v = 0 + -7v Combine like terms: 7v + -7v = 0 11b + 0 = 0 + -7v 11b = 0 + -7v Remove the zero: 11b = -7v Divide each side by '11'. b = -0.6363636364v Simplifying b = -0.6363636364vSolution
b = {6v, -0.6363636364v}
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