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Simplifying 8v2 + 32v + -4 = -4 Reorder the terms: -4 + 32v + 8v2 = -4 Add '4' to each side of the equation. -4 + 32v + 4 + 8v2 = -4 + 4 Reorder the terms: -4 + 4 + 32v + 8v2 = -4 + 4 Combine like terms: -4 + 4 = 0 0 + 32v + 8v2 = -4 + 4 32v + 8v2 = -4 + 4 Combine like terms: -4 + 4 = 0 32v + 8v2 = 0 Solving 32v + 8v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '8v'. 8v(4 + v) = 0 Ignore the factor 8.Subproblem 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 '(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 = -4Solution
v = {0, -4}
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