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Simplifying 2v2 + -12v + 16 + -1v2 + 4v + -4 = 0 Reorder the terms: 16 + -4 + -12v + 4v + 2v2 + -1v2 = 0 Combine like terms: 16 + -4 = 12 12 + -12v + 4v + 2v2 + -1v2 = 0 Combine like terms: -12v + 4v = -8v 12 + -8v + 2v2 + -1v2 = 0 Combine like terms: 2v2 + -1v2 = 1v2 12 + -8v + 1v2 = 0 Solving 12 + -8v + 1v2 = 0 Solving for variable 'v'. Factor a trinomial. (2 + -1v)(6 + -1v) = 0Subproblem 1
Set the factor '(2 + -1v)' equal to zero and attempt to solve: Simplifying 2 + -1v = 0 Solving 2 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1v = 0 + -2 -1v = 0 + -2 Combine like terms: 0 + -2 = -2 -1v = -2 Divide each side by '-1'. v = 2 Simplifying v = 2Subproblem 2
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 = 6Solution
v = {2, 6}
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