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Simplifying (v + -2)(v + -8) = 0 Reorder the terms: (-2 + v)(v + -8) = 0 Reorder the terms: (-2 + v)(-8 + v) = 0 Multiply (-2 + v) * (-8 + v) (-2(-8 + v) + v(-8 + v)) = 0 ((-8 * -2 + v * -2) + v(-8 + v)) = 0 ((16 + -2v) + v(-8 + v)) = 0 (16 + -2v + (-8 * v + v * v)) = 0 (16 + -2v + (-8v + v2)) = 0 Combine like terms: -2v + -8v = -10v (16 + -10v + v2) = 0 Solving 16 + -10v + v2 = 0 Solving for variable 'v'. Factor a trinomial. (2 + -1v)(8 + -1v) = 0Subproblem 1
Set the factor '(2 + -1v)' equal to zero and attempt to solve: Simplifying 2 + -1v = 0 Solving 2 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1v = 0 + -2 -1v = 0 + -2 Combine like terms: 0 + -2 = -2 -1v = -2 Divide each side by '-1'. v = 2 Simplifying v = 2Subproblem 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 = {2, 8}
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