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Simplifying 0 = v2 + -8v + 16 Reorder the terms: 0 = 16 + -8v + v2 Solving 0 = 16 + -8v + v2 Solving for variable 'v'. Combine like terms: 0 + -16 = -16 -16 + 8v + -1v2 = 16 + -8v + v2 + -16 + 8v + -1v2 Reorder the terms: -16 + 8v + -1v2 = 16 + -16 + -8v + 8v + v2 + -1v2 Combine like terms: 16 + -16 = 0 -16 + 8v + -1v2 = 0 + -8v + 8v + v2 + -1v2 -16 + 8v + -1v2 = -8v + 8v + v2 + -1v2 Combine like terms: -8v + 8v = 0 -16 + 8v + -1v2 = 0 + v2 + -1v2 -16 + 8v + -1v2 = v2 + -1v2 Combine like terms: v2 + -1v2 = 0 -16 + 8v + -1v2 = 0 Factor a trinomial. (-4 + v)(4 + -1v) = 0Subproblem 1
Set the factor '(-4 + v)' equal to zero and attempt to solve: Simplifying -4 + v = 0 Solving -4 + v = 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 + v = 0 + 4 Combine like terms: -4 + 4 = 0 0 + v = 0 + 4 v = 0 + 4 Combine like terms: 0 + 4 = 4 v = 4 Simplifying v = 4Subproblem 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 = {4, 4}
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