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Simplifying -5(v + -7)(-1v + -9) = 0 Reorder the terms: -5(-7 + v)(-1v + -9) = 0 Reorder the terms: -5(-7 + v)(-9 + -1v) = 0 Multiply (-7 + v) * (-9 + -1v) -5(-7(-9 + -1v) + v(-9 + -1v)) = 0 -5((-9 * -7 + -1v * -7) + v(-9 + -1v)) = 0 -5((63 + 7v) + v(-9 + -1v)) = 0 -5(63 + 7v + (-9 * v + -1v * v)) = 0 -5(63 + 7v + (-9v + -1v2)) = 0 Combine like terms: 7v + -9v = -2v -5(63 + -2v + -1v2) = 0 (63 * -5 + -2v * -5 + -1v2 * -5) = 0 (-315 + 10v + 5v2) = 0 Solving -315 + 10v + 5v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '5'. 5(-63 + 2v + v2) = 0 Factor a trinomial. 5((-9 + -1v)(7 + -1v)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-9 + -1v)' equal to zero and attempt to solve: Simplifying -9 + -1v = 0 Solving -9 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1v = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1v = 0 + 9 -1v = 0 + 9 Combine like terms: 0 + 9 = 9 -1v = 9 Divide each side by '-1'. v = -9 Simplifying v = -9Subproblem 2
Set the factor '(7 + -1v)' equal to zero and attempt to solve: Simplifying 7 + -1v = 0 Solving 7 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1v = 0 + -7 -1v = 0 + -7 Combine like terms: 0 + -7 = -7 -1v = -7 Divide each side by '-1'. v = 7 Simplifying v = 7Solution
v = {-9, 7}
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