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Simplifying -5v2 + -12v + 108 = 0 Reorder the terms: 108 + -12v + -5v2 = 0 Solving 108 + -12v + -5v2 = 0 Solving for variable 'v'. Factor a trinomial. (18 + -5v)(6 + v) = 0Subproblem 1
Set the factor '(18 + -5v)' equal to zero and attempt to solve: Simplifying 18 + -5v = 0 Solving 18 + -5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -5v = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -5v = 0 + -18 -5v = 0 + -18 Combine like terms: 0 + -18 = -18 -5v = -18 Divide each side by '-5'. v = 3.6 Simplifying v = 3.6Subproblem 2
Set the factor '(6 + v)' equal to zero and attempt to solve: Simplifying 6 + v = 0 Solving 6 + v = 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 + v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + v = 0 + -6 v = 0 + -6 Combine like terms: 0 + -6 = -6 v = -6 Simplifying v = -6Solution
v = {3.6, -6}
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