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Simplifying 7v2 + 42v = -56 Reorder the terms: 42v + 7v2 = -56 Solving 42v + 7v2 = -56 Solving for variable 'v'. Reorder the terms: 56 + 42v + 7v2 = -56 + 56 Combine like terms: -56 + 56 = 0 56 + 42v + 7v2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(8 + 6v + v2) = 0 Factor a trinomial. 7((4 + v)(2 + v)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(4 + v)' equal to zero and attempt to solve: Simplifying 4 + v = 0 Solving 4 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + v = 0 + -4 v = 0 + -4 Combine like terms: 0 + -4 = -4 v = -4 Simplifying v = -4Subproblem 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 = {-4, -2}
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