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Simplifying 5(v + 3)(-1v + 9) = 0 Reorder the terms: 5(3 + v)(-1v + 9) = 0 Reorder the terms: 5(3 + v)(9 + -1v) = 0 Multiply (3 + v) * (9 + -1v) 5(3(9 + -1v) + v(9 + -1v)) = 0 5((9 * 3 + -1v * 3) + v(9 + -1v)) = 0 5((27 + -3v) + v(9 + -1v)) = 0 5(27 + -3v + (9 * v + -1v * v)) = 0 5(27 + -3v + (9v + -1v2)) = 0 Combine like terms: -3v + 9v = 6v 5(27 + 6v + -1v2) = 0 (27 * 5 + 6v * 5 + -1v2 * 5) = 0 (135 + 30v + -5v2) = 0 Solving 135 + 30v + -5v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '5'. 5(27 + 6v + -1v2) = 0 Factor a trinomial. 5((9 + -1v)(3 + v)) = 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 '(3 + v)' equal to zero and attempt to solve: Simplifying 3 + v = 0 Solving 3 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + v = 0 + -3 v = 0 + -3 Combine like terms: 0 + -3 = -3 v = -3 Simplifying v = -3Solution
v = {9, -3}
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