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