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Simplifying -1v2 = 64 + -16v Solving -1v2 = 64 + -16v Solving for variable 'v'. Reorder the terms: -64 + 16v + -1v2 = 64 + -16v + -64 + 16v Reorder the terms: -64 + 16v + -1v2 = 64 + -64 + -16v + 16v Combine like terms: 64 + -64 = 0 -64 + 16v + -1v2 = 0 + -16v + 16v -64 + 16v + -1v2 = -16v + 16v Combine like terms: -16v + 16v = 0 -64 + 16v + -1v2 = 0 Factor a trinomial. (-8 + v)(8 + -1v) = 0Subproblem 1
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 = 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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