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Simplifying (v + 9)(v + -7) = 0 Reorder the terms: (9 + v)(v + -7) = 0 Reorder the terms: (9 + v)(-7 + v) = 0 Multiply (9 + v) * (-7 + v) (9(-7 + v) + v(-7 + v)) = 0 ((-7 * 9 + v * 9) + v(-7 + v)) = 0 ((-63 + 9v) + v(-7 + v)) = 0 (-63 + 9v + (-7 * v + v * v)) = 0 (-63 + 9v + (-7v + v2)) = 0 Combine like terms: 9v + -7v = 2v (-63 + 2v + v2) = 0 Solving -63 + 2v + v2 = 0 Solving for variable 'v'. Factor a trinomial. (-9 + -1v)(7 + -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 '(7 + -1v)' equal to zero and attempt to solve: Simplifying 7 + -1v = 0 Solving 7 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1v = 0 + -7 -1v = 0 + -7 Combine like terms: 0 + -7 = -7 -1v = -7 Divide each side by '-1'. v = 7 Simplifying v = 7Solution
v = {-9, 7}
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