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Simplifying 2v2 + v + 30 + -1v2 + 8v + -16 = 0 Reorder the terms: 30 + -16 + v + 8v + 2v2 + -1v2 = 0 Combine like terms: 30 + -16 = 14 14 + v + 8v + 2v2 + -1v2 = 0 Combine like terms: v + 8v = 9v 14 + 9v + 2v2 + -1v2 = 0 Combine like terms: 2v2 + -1v2 = 1v2 14 + 9v + 1v2 = 0 Solving 14 + 9v + 1v2 = 0 Solving for variable 'v'. Factor a trinomial. (7 + v)(2 + v) = 0Subproblem 1
Set the factor '(7 + v)' equal to zero and attempt to solve: Simplifying 7 + v = 0 Solving 7 + v = 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 + v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + v = 0 + -7 v = 0 + -7 Combine like terms: 0 + -7 = -7 v = -7 Simplifying v = -7Subproblem 2
Set the factor '(2 + v)' equal to zero and attempt to solve: Simplifying 2 + v = 0 Solving 2 + v = 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 + v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + v = 0 + -2 v = 0 + -2 Combine like terms: 0 + -2 = -2 v = -2 Simplifying v = -2Solution
v = {-7, -2}
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