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Simplifying (v + 5)(v + 9) = 0 Reorder the terms: (5 + v)(v + 9) = 0 Reorder the terms: (5 + v)(9 + v) = 0 Multiply (5 + v) * (9 + v) (5(9 + v) + v(9 + v)) = 0 ((9 * 5 + v * 5) + v(9 + v)) = 0 ((45 + 5v) + v(9 + v)) = 0 (45 + 5v + (9 * v + v * v)) = 0 (45 + 5v + (9v + v2)) = 0 Combine like terms: 5v + 9v = 14v (45 + 14v + v2) = 0 Solving 45 + 14v + v2 = 0 Solving for variable 'v'. Factor a trinomial. (9 + v)(5 + 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 '(5 + v)' equal to zero and attempt to solve: Simplifying 5 + v = 0 Solving 5 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + v = 0 + -5 v = 0 + -5 Combine like terms: 0 + -5 = -5 v = -5 Simplifying v = -5Solution
v = {-9, -5}
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