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Simplifying -1v2 + -5v + 84 = 0 Reorder the terms: 84 + -5v + -1v2 = 0 Solving 84 + -5v + -1v2 = 0 Solving for variable 'v'. Factor a trinomial. (7 + -1v)(12 + v) = 0Subproblem 1
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 = 7Subproblem 2
Set the factor '(12 + v)' equal to zero and attempt to solve: Simplifying 12 + v = 0 Solving 12 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + v = 0 + -12 Combine like terms: 12 + -12 = 0 0 + v = 0 + -12 v = 0 + -12 Combine like terms: 0 + -12 = -12 v = -12 Simplifying v = -12Solution
v = {7, -12}
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