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Simplifying v2 = 56 + -1v Solving v2 = 56 + -1v Solving for variable 'v'. Reorder the terms: -56 + v + v2 = 56 + -1v + -56 + v Reorder the terms: -56 + v + v2 = 56 + -56 + -1v + v Combine like terms: 56 + -56 = 0 -56 + v + v2 = 0 + -1v + v -56 + v + v2 = -1v + v Combine like terms: -1v + v = 0 -56 + v + v2 = 0 Factor a trinomial. (-8 + -1v)(7 + -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 '(7 + -1v)' equal to zero and attempt to solve: Simplifying 7 + -1v = 0 Solving 7 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1v = 0 + -7 -1v = 0 + -7 Combine like terms: 0 + -7 = -7 -1v = -7 Divide each side by '-1'. v = 7 Simplifying v = 7Solution
v = {-8, 7}
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