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Simplifying 2v2 + 128 = 32v Reorder the terms: 128 + 2v2 = 32v Solving 128 + 2v2 = 32v Solving for variable 'v'. Reorder the terms: 128 + -32v + 2v2 = 32v + -32v Combine like terms: 32v + -32v = 0 128 + -32v + 2v2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(64 + -16v + v2) = 0 Factor a trinomial. 2((8 + -1v)(8 + -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 '(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 = 8Solution
v = {8, 8}
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