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Simplifying (v + 8)(v + 9) = 0 Reorder the terms: (8 + v)(v + 9) = 0 Reorder the terms: (8 + v)(9 + v) = 0 Multiply (8 + v) * (9 + v) (8(9 + v) + v(9 + v)) = 0 ((9 * 8 + v * 8) + v(9 + v)) = 0 ((72 + 8v) + v(9 + v)) = 0 (72 + 8v + (9 * v + v * v)) = 0 (72 + 8v + (9v + v2)) = 0 Combine like terms: 8v + 9v = 17v (72 + 17v + v2) = 0 Solving 72 + 17v + v2 = 0 Solving for variable 'v'. Factor a trinomial. (9 + v)(8 + v) = 0Subproblem 1
Set the factor '(9 + v)' equal to zero and attempt to solve: Simplifying 9 + v = 0 Solving 9 + v = 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 + v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + v = 0 + -9 v = 0 + -9 Combine like terms: 0 + -9 = -9 v = -9 Simplifying v = -9Subproblem 2
Set the factor '(8 + v)' equal to zero and attempt to solve: Simplifying 8 + v = 0 Solving 8 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + v = 0 + -8 v = 0 + -8 Combine like terms: 0 + -8 = -8 v = -8 Simplifying v = -8Solution
v = {-9, -8}
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