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Simplifying (v + 6)(v + 5) = 0 Reorder the terms: (6 + v)(v + 5) = 0 Reorder the terms: (6 + v)(5 + v) = 0 Multiply (6 + v) * (5 + v) (6(5 + v) + v(5 + v)) = 0 ((5 * 6 + v * 6) + v(5 + v)) = 0 ((30 + 6v) + v(5 + v)) = 0 (30 + 6v + (5 * v + v * v)) = 0 (30 + 6v + (5v + v2)) = 0 Combine like terms: 6v + 5v = 11v (30 + 11v + v2) = 0 Solving 30 + 11v + v2 = 0 Solving for variable 'v'. Factor a trinomial. (6 + v)(5 + v) = 0Subproblem 1
Set the factor '(6 + v)' equal to zero and attempt to solve: Simplifying 6 + v = 0 Solving 6 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + v = 0 + -6 v = 0 + -6 Combine like terms: 0 + -6 = -6 v = -6 Simplifying v = -6Subproblem 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 = {-6, -5}
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