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Simplifying 2v2 + 28 = -18v Reorder the terms: 28 + 2v2 = -18v Solving 28 + 2v2 = -18v Solving for variable 'v'. Reorder the terms: 28 + 18v + 2v2 = -18v + 18v Combine like terms: -18v + 18v = 0 28 + 18v + 2v2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(14 + 9v + v2) = 0 Factor a trinomial. 2((7 + v)(2 + v)) = 0 Ignore the factor 2.Subproblem 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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