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Simplifying (v + 9)(v + -12) = 0 Reorder the terms: (9 + v)(v + -12) = 0 Reorder the terms: (9 + v)(-12 + v) = 0 Multiply (9 + v) * (-12 + v) (9(-12 + v) + v(-12 + v)) = 0 ((-12 * 9 + v * 9) + v(-12 + v)) = 0 ((-108 + 9v) + v(-12 + v)) = 0 (-108 + 9v + (-12 * v + v * v)) = 0 (-108 + 9v + (-12v + v2)) = 0 Combine like terms: 9v + -12v = -3v (-108 + -3v + v2) = 0 Solving -108 + -3v + v2 = 0 Solving for variable 'v'. Factor a trinomial. (-9 + -1v)(12 + -1v) = 0Subproblem 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 '(12 + -1v)' equal to zero and attempt to solve: Simplifying 12 + -1v = 0 Solving 12 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1v = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1v = 0 + -12 -1v = 0 + -12 Combine like terms: 0 + -12 = -12 -1v = -12 Divide each side by '-1'. v = 12 Simplifying v = 12Solution
v = {-9, 12}
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