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Simplifying 8 + 8(v + 2) * v = 0 Reorder the terms: 8 + 8(2 + v) * v = 0 Reorder the terms for easier multiplication: 8 + 8v(2 + v) = 0 8 + (2 * 8v + v * 8v) = 0 8 + (16v + 8v2) = 0 Solving 8 + 16v + 8v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '8'. 8(1 + 2v + v2) = 0 Factor a trinomial. 8((1 + v)(1 + v)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(1 + v)' equal to zero and attempt to solve: Simplifying 1 + v = 0 Solving 1 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + v = 0 + -1 v = 0 + -1 Combine like terms: 0 + -1 = -1 v = -1 Simplifying v = -1Subproblem 2
Set the factor '(1 + v)' equal to zero and attempt to solve: Simplifying 1 + v = 0 Solving 1 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + v = 0 + -1 v = 0 + -1 Combine like terms: 0 + -1 = -1 v = -1 Simplifying v = -1Solution
v = {-1, -1}
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