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Simplifying v2 + -87 = -1v + 3 Reorder the terms: -87 + v2 = -1v + 3 Reorder the terms: -87 + v2 = 3 + -1v Solving -87 + v2 = 3 + -1v Solving for variable 'v'. Reorder the terms: -87 + -3 + v + v2 = 3 + -1v + -3 + v Combine like terms: -87 + -3 = -90 -90 + v + v2 = 3 + -1v + -3 + v Reorder the terms: -90 + v + v2 = 3 + -3 + -1v + v Combine like terms: 3 + -3 = 0 -90 + v + v2 = 0 + -1v + v -90 + v + v2 = -1v + v Combine like terms: -1v + v = 0 -90 + v + v2 = 0 Factor a trinomial. (-10 + -1v)(9 + -1v) = 0Subproblem 1
Set the factor '(-10 + -1v)' equal to zero and attempt to solve: Simplifying -10 + -1v = 0 Solving -10 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1v = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1v = 0 + 10 -1v = 0 + 10 Combine like terms: 0 + 10 = 10 -1v = 10 Divide each side by '-1'. v = -10 Simplifying v = -10Subproblem 2
Set the factor '(9 + -1v)' equal to zero and attempt to solve: Simplifying 9 + -1v = 0 Solving 9 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1v = 0 + -9 -1v = 0 + -9 Combine like terms: 0 + -9 = -9 -1v = -9 Divide each side by '-1'. v = 9 Simplifying v = 9Solution
v = {-10, 9}
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