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Simplifying 7v2 + 70v = -175 Reorder the terms: 70v + 7v2 = -175 Solving 70v + 7v2 = -175 Solving for variable 'v'. Reorder the terms: 175 + 70v + 7v2 = -175 + 175 Combine like terms: -175 + 175 = 0 175 + 70v + 7v2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(25 + 10v + v2) = 0 Factor a trinomial. 7((5 + v)(5 + v)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(5 + v)' equal to zero and attempt to solve: Simplifying 5 + v = 0 Solving 5 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + v = 0 + -5 v = 0 + -5 Combine like terms: 0 + -5 = -5 v = -5 Simplifying v = -5Subproblem 2
Set the factor '(5 + v)' equal to zero and attempt to solve: Simplifying 5 + v = 0 Solving 5 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + v = 0 + -5 v = 0 + -5 Combine like terms: 0 + -5 = -5 v = -5 Simplifying v = -5Solution
v = {-5, -5}
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