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