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Simplifying 0 = v2 + -10v + 24 Reorder the terms: 0 = 24 + -10v + v2 Solving 0 = 24 + -10v + v2 Solving for variable 'v'. Combine like terms: 0 + -24 = -24 -24 + 10v + -1v2 = 24 + -10v + v2 + -24 + 10v + -1v2 Reorder the terms: -24 + 10v + -1v2 = 24 + -24 + -10v + 10v + v2 + -1v2 Combine like terms: 24 + -24 = 0 -24 + 10v + -1v2 = 0 + -10v + 10v + v2 + -1v2 -24 + 10v + -1v2 = -10v + 10v + v2 + -1v2 Combine like terms: -10v + 10v = 0 -24 + 10v + -1v2 = 0 + v2 + -1v2 -24 + 10v + -1v2 = v2 + -1v2 Combine like terms: v2 + -1v2 = 0 -24 + 10v + -1v2 = 0 Factor a trinomial. (-6 + v)(4 + -1v) = 0Subproblem 1
Set the factor '(-6 + v)' equal to zero and attempt to solve: Simplifying -6 + v = 0 Solving -6 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + v = 0 + 6 Combine like terms: -6 + 6 = 0 0 + v = 0 + 6 v = 0 + 6 Combine like terms: 0 + 6 = 6 v = 6 Simplifying v = 6Subproblem 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 = {6, 4}
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