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Simplifying (v + -9)(v + -2) = 0 Reorder the terms: (-9 + v)(v + -2) = 0 Reorder the terms: (-9 + v)(-2 + v) = 0 Multiply (-9 + v) * (-2 + v) (-9(-2 + v) + v(-2 + v)) = 0 ((-2 * -9 + v * -9) + v(-2 + v)) = 0 ((18 + -9v) + v(-2 + v)) = 0 (18 + -9v + (-2 * v + v * v)) = 0 (18 + -9v + (-2v + v2)) = 0 Combine like terms: -9v + -2v = -11v (18 + -11v + v2) = 0 Solving 18 + -11v + v2 = 0 Solving for variable 'v'. Factor a trinomial. (2 + -1v)(9 + -1v) = 0Subproblem 1
Set the factor '(2 + -1v)' equal to zero and attempt to solve: Simplifying 2 + -1v = 0 Solving 2 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1v = 0 + -2 -1v = 0 + -2 Combine like terms: 0 + -2 = -2 -1v = -2 Divide each side by '-1'. v = 2 Simplifying v = 2Subproblem 2
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 = 9Solution
v = {2, 9}
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