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Simplifying (v + 2)(v + -4) = 0 Reorder the terms: (2 + v)(v + -4) = 0 Reorder the terms: (2 + v)(-4 + v) = 0 Multiply (2 + v) * (-4 + v) (2(-4 + v) + v(-4 + v)) = 0 ((-4 * 2 + v * 2) + v(-4 + v)) = 0 ((-8 + 2v) + v(-4 + v)) = 0 (-8 + 2v + (-4 * v + v * v)) = 0 (-8 + 2v + (-4v + v2)) = 0 Combine like terms: 2v + -4v = -2v (-8 + -2v + v2) = 0 Solving -8 + -2v + v2 = 0 Solving for variable 'v'. Factor a trinomial. (-2 + -1v)(4 + -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 '(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 = {-2, 4}
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