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Simplifying 2v2 + -12v + -5 + -1v2 + 8v + -16 = 0 Reorder the terms: -5 + -16 + -12v + 8v + 2v2 + -1v2 = 0 Combine like terms: -5 + -16 = -21 -21 + -12v + 8v + 2v2 + -1v2 = 0 Combine like terms: -12v + 8v = -4v -21 + -4v + 2v2 + -1v2 = 0 Combine like terms: 2v2 + -1v2 = 1v2 -21 + -4v + 1v2 = 0 Solving -21 + -4v + 1v2 = 0 Solving for variable 'v'. Factor a trinomial. (-3 + -1v)(7 + -1v) = 0Subproblem 1
Set the factor '(-3 + -1v)' equal to zero and attempt to solve: Simplifying -3 + -1v = 0 Solving -3 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1v = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1v = 0 + 3 -1v = 0 + 3 Combine like terms: 0 + 3 = 3 -1v = 3 Divide each side by '-1'. v = -3 Simplifying v = -3Subproblem 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 = {-3, 7}
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