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Simplifying v2 = 40 + -3v Solving v2 = 40 + -3v Solving for variable 'v'. Reorder the terms: -40 + 3v + v2 = 40 + -3v + -40 + 3v Reorder the terms: -40 + 3v + v2 = 40 + -40 + -3v + 3v Combine like terms: 40 + -40 = 0 -40 + 3v + v2 = 0 + -3v + 3v -40 + 3v + v2 = -3v + 3v Combine like terms: -3v + 3v = 0 -40 + 3v + v2 = 0 Factor a trinomial. (-8 + -1v)(5 + -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 '(5 + -1v)' equal to zero and attempt to solve: Simplifying 5 + -1v = 0 Solving 5 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1v = 0 + -5 -1v = 0 + -5 Combine like terms: 0 + -5 = -5 -1v = -5 Divide each side by '-1'. v = 5 Simplifying v = 5Solution
v = {-8, 5}
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