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Simplifying (v + 9)(v + 10) = 0 Reorder the terms: (9 + v)(v + 10) = 0 Reorder the terms: (9 + v)(10 + v) = 0 Multiply (9 + v) * (10 + v) (9(10 + v) + v(10 + v)) = 0 ((10 * 9 + v * 9) + v(10 + v)) = 0 ((90 + 9v) + v(10 + v)) = 0 (90 + 9v + (10 * v + v * v)) = 0 (90 + 9v + (10v + v2)) = 0 Combine like terms: 9v + 10v = 19v (90 + 19v + v2) = 0 Solving 90 + 19v + v2 = 0 Solving for variable 'v'. Factor a trinomial. (10 + v)(9 + v) = 0Subproblem 1
Set the factor '(10 + v)' equal to zero and attempt to solve: Simplifying 10 + v = 0 Solving 10 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + v = 0 + -10 Combine like terms: 10 + -10 = 0 0 + v = 0 + -10 v = 0 + -10 Combine like terms: 0 + -10 = -10 v = -10 Simplifying v = -10Subproblem 2
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 = -9Solution
v = {-10, -9}
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