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Simplifying 18 = v(v + -7) Reorder the terms: 18 = v(-7 + v) 18 = (-7 * v + v * v) 18 = (-7v + v2) Solving 18 = -7v + v2 Solving for variable 'v'. Reorder the terms: 18 + 7v + -1v2 = -7v + 7v + v2 + -1v2 Combine like terms: -7v + 7v = 0 18 + 7v + -1v2 = 0 + v2 + -1v2 18 + 7v + -1v2 = v2 + -1v2 Combine like terms: v2 + -1v2 = 0 18 + 7v + -1v2 = 0 Factor a trinomial. (9 + -1v)(2 + v) = 0Subproblem 1
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 = 9Subproblem 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 = {9, -2}
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