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