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Simplifying 2v2 + -12v + -7 = 7 Reorder the terms: -7 + -12v + 2v2 = 7 Solving -7 + -12v + 2v2 = 7 Solving for variable 'v'. Reorder the terms: -7 + -7 + -12v + 2v2 = 7 + -7 Combine like terms: -7 + -7 = -14 -14 + -12v + 2v2 = 7 + -7 Combine like terms: 7 + -7 = 0 -14 + -12v + 2v2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-7 + -6v + v2) = 0 Factor a trinomial. 2((-1 + -1v)(7 + -1v)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -1v)' equal to zero and attempt to solve: Simplifying -1 + -1v = 0 Solving -1 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1v = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1v = 0 + 1 -1v = 0 + 1 Combine like terms: 0 + 1 = 1 -1v = 1 Divide each side by '-1'. v = -1 Simplifying v = -1Subproblem 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 = {-1, 7}
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