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