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Simplifying (9 + v)(v + -3) = 0 Reorder the terms: (9 + v)(-3 + v) = 0 Multiply (9 + v) * (-3 + v) (9(-3 + v) + v(-3 + v)) = 0 ((-3 * 9 + v * 9) + v(-3 + v)) = 0 ((-27 + 9v) + v(-3 + v)) = 0 (-27 + 9v + (-3 * v + v * v)) = 0 (-27 + 9v + (-3v + v2)) = 0 Combine like terms: 9v + -3v = 6v (-27 + 6v + v2) = 0 Solving -27 + 6v + v2 = 0 Solving for variable 'v'. Factor a trinomial. (-9 + -1v)(3 + -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 '(3 + -1v)' equal to zero and attempt to solve: Simplifying 3 + -1v = 0 Solving 3 + -1v = 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 + -1v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1v = 0 + -3 -1v = 0 + -3 Combine like terms: 0 + -3 = -3 -1v = -3 Divide each side by '-1'. v = 3 Simplifying v = 3Solution
v = {-9, 3}
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