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Simplifying -4(v + 9)(-1v + -1) = 0 Reorder the terms: -4(9 + v)(-1v + -1) = 0 Reorder the terms: -4(9 + v)(-1 + -1v) = 0 Multiply (9 + v) * (-1 + -1v) -4(9(-1 + -1v) + v(-1 + -1v)) = 0 -4((-1 * 9 + -1v * 9) + v(-1 + -1v)) = 0 -4((-9 + -9v) + v(-1 + -1v)) = 0 -4(-9 + -9v + (-1 * v + -1v * v)) = 0 -4(-9 + -9v + (-1v + -1v2)) = 0 Combine like terms: -9v + -1v = -10v -4(-9 + -10v + -1v2) = 0 (-9 * -4 + -10v * -4 + -1v2 * -4) = 0 (36 + 40v + 4v2) = 0 Solving 36 + 40v + 4v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '4'. 4(9 + 10v + v2) = 0 Factor a trinomial. 4((9 + v)(1 + v)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(9 + v)' equal to zero and attempt to solve: Simplifying 9 + v = 0 Solving 9 + v = 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 + v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + v = 0 + -9 v = 0 + -9 Combine like terms: 0 + -9 = -9 v = -9 Simplifying v = -9Subproblem 2
Set the factor '(1 + v)' equal to zero and attempt to solve: Simplifying 1 + v = 0 Solving 1 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + v = 0 + -1 v = 0 + -1 Combine like terms: 0 + -1 = -1 v = -1 Simplifying v = -1Solution
v = {-9, -1}
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