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Simplifying 2v2 = 64 + -8v Solving 2v2 = 64 + -8v Solving for variable 'v'. Reorder the terms: -64 + 8v + 2v2 = 64 + -8v + -64 + 8v Reorder the terms: -64 + 8v + 2v2 = 64 + -64 + -8v + 8v Combine like terms: 64 + -64 = 0 -64 + 8v + 2v2 = 0 + -8v + 8v -64 + 8v + 2v2 = -8v + 8v Combine like terms: -8v + 8v = 0 -64 + 8v + 2v2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-32 + 4v + v2) = 0 Factor a trinomial. 2((-8 + -1v)(4 + -1v)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-8 + -1v)' equal to zero and attempt to solve: Simplifying -8 + -1v = 0 Solving -8 + -1v = 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 + -1v = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1v = 0 + 8 -1v = 0 + 8 Combine like terms: 0 + 8 = 8 -1v = 8 Divide each side by '-1'. v = -8 Simplifying v = -8Subproblem 2
Set the factor '(4 + -1v)' equal to zero and attempt to solve: Simplifying 4 + -1v = 0 Solving 4 + -1v = 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 + -1v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1v = 0 + -4 -1v = 0 + -4 Combine like terms: 0 + -4 = -4 -1v = -4 Divide each side by '-1'. v = 4 Simplifying v = 4Solution
v = {-8, 4}
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