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Simplifying 5v2 = -70v + -240 Reorder the terms: 5v2 = -240 + -70v Solving 5v2 = -240 + -70v Solving for variable 'v'. Reorder the terms: 240 + 70v + 5v2 = -240 + -70v + 240 + 70v Reorder the terms: 240 + 70v + 5v2 = -240 + 240 + -70v + 70v Combine like terms: -240 + 240 = 0 240 + 70v + 5v2 = 0 + -70v + 70v 240 + 70v + 5v2 = -70v + 70v Combine like terms: -70v + 70v = 0 240 + 70v + 5v2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(48 + 14v + v2) = 0 Factor a trinomial. 5((8 + v)(6 + v)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(8 + v)' equal to zero and attempt to solve: Simplifying 8 + v = 0 Solving 8 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + v = 0 + -8 v = 0 + -8 Combine like terms: 0 + -8 = -8 v = -8 Simplifying v = -8Subproblem 2
Set the factor '(6 + v)' equal to zero and attempt to solve: Simplifying 6 + v = 0 Solving 6 + v = 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 + v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + v = 0 + -6 v = 0 + -6 Combine like terms: 0 + -6 = -6 v = -6 Simplifying v = -6Solution
v = {-8, -6}
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