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Simplifying (v + 9)(v + -6) = 0 Reorder the terms: (9 + v)(v + -6) = 0 Reorder the terms: (9 + v)(-6 + v) = 0 Multiply (9 + v) * (-6 + v) (9(-6 + v) + v(-6 + v)) = 0 ((-6 * 9 + v * 9) + v(-6 + v)) = 0 ((-54 + 9v) + v(-6 + v)) = 0 (-54 + 9v + (-6 * v + v * v)) = 0 (-54 + 9v + (-6v + v2)) = 0 Combine like terms: 9v + -6v = 3v (-54 + 3v + v2) = 0 Solving -54 + 3v + v2 = 0 Solving for variable 'v'. Factor a trinomial. (-9 + -1v)(6 + -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 '(6 + -1v)' equal to zero and attempt to solve: Simplifying 6 + -1v = 0 Solving 6 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1v = 0 + -6 -1v = 0 + -6 Combine like terms: 0 + -6 = -6 -1v = -6 Divide each side by '-1'. v = 6 Simplifying v = 6Solution
v = {-9, 6}
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