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Simplifying v2 + -4v + -96 = 0 Reorder the terms: -96 + -4v + v2 = 0 Solving -96 + -4v + v2 = 0 Solving for variable 'v'. Factor a trinomial. (-8 + -1v)(12 + -1v) = 0Subproblem 1
Set the factor '(-8 + -1v)' equal to zero and attempt to solve: Simplifying -8 + -1v = 0 Solving -8 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1v = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1v = 0 + 8 -1v = 0 + 8 Combine like terms: 0 + 8 = 8 -1v = 8 Divide each side by '-1'. v = -8 Simplifying v = -8Subproblem 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 = {-8, 12}
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