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Simplifying v2 = -32 + 12v Solving v2 = -32 + 12v Solving for variable 'v'. Reorder the terms: 32 + -12v + v2 = -32 + 12v + 32 + -12v Reorder the terms: 32 + -12v + v2 = -32 + 32 + 12v + -12v Combine like terms: -32 + 32 = 0 32 + -12v + v2 = 0 + 12v + -12v 32 + -12v + v2 = 12v + -12v Combine like terms: 12v + -12v = 0 32 + -12v + v2 = 0 Factor a trinomial. (4 + -1v)(8 + -1v) = 0Subproblem 1
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 = 4Subproblem 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 = {4, 8}
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