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Simplifying 14 = v(v + -5) Reorder the terms: 14 = v(-5 + v) 14 = (-5 * v + v * v) 14 = (-5v + v2) Solving 14 = -5v + v2 Solving for variable 'v'. Reorder the terms: 14 + 5v + -1v2 = -5v + 5v + v2 + -1v2 Combine like terms: -5v + 5v = 0 14 + 5v + -1v2 = 0 + v2 + -1v2 14 + 5v + -1v2 = v2 + -1v2 Combine like terms: v2 + -1v2 = 0 14 + 5v + -1v2 = 0 Factor a trinomial. (7 + -1v)(2 + 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 '(2 + v)' equal to zero and attempt to solve: Simplifying 2 + v = 0 Solving 2 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + v = 0 + -2 v = 0 + -2 Combine like terms: 0 + -2 = -2 v = -2 Simplifying v = -2Solution
v = {7, -2}
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