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Simplifying -3v2 + 7v + -60 = -4v2 Reorder the terms: -60 + 7v + -3v2 = -4v2 Solving -60 + 7v + -3v2 = -4v2 Solving for variable 'v'. Combine like terms: -3v2 + 4v2 = 1v2 -60 + 7v + 1v2 = -4v2 + 4v2 Combine like terms: -4v2 + 4v2 = 0 -60 + 7v + 1v2 = 0 Factor a trinomial. (-12 + -1v)(5 + -1v) = 0Subproblem 1
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 = -12Subproblem 2
Set the factor '(5 + -1v)' equal to zero and attempt to solve: Simplifying 5 + -1v = 0 Solving 5 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1v = 0 + -5 -1v = 0 + -5 Combine like terms: 0 + -5 = -5 -1v = -5 Divide each side by '-1'. v = 5 Simplifying v = 5Solution
v = {-12, 5}
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