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Simplifying 9 = v(v + -8) Reorder the terms: 9 = v(-8 + v) 9 = (-8 * v + v * v) 9 = (-8v + v2) Solving 9 = -8v + v2 Solving for variable 'v'. Reorder the terms: 9 + 8v + -1v2 = -8v + 8v + v2 + -1v2 Combine like terms: -8v + 8v = 0 9 + 8v + -1v2 = 0 + v2 + -1v2 9 + 8v + -1v2 = v2 + -1v2 Combine like terms: v2 + -1v2 = 0 9 + 8v + -1v2 = 0 Factor a trinomial. (9 + -1v)(1 + 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 '(1 + v)' equal to zero and attempt to solve: Simplifying 1 + v = 0 Solving 1 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + v = 0 + -1 v = 0 + -1 Combine like terms: 0 + -1 = -1 v = -1 Simplifying v = -1Solution
v = {9, -1}
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