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Simplifying (v + 8)(v + 2) = 0 Reorder the terms: (8 + v)(v + 2) = 0 Reorder the terms: (8 + v)(2 + v) = 0 Multiply (8 + v) * (2 + v) (8(2 + v) + v(2 + v)) = 0 ((2 * 8 + v * 8) + v(2 + v)) = 0 ((16 + 8v) + v(2 + v)) = 0 (16 + 8v + (2 * v + v * v)) = 0 (16 + 8v + (2v + v2)) = 0 Combine like terms: 8v + 2v = 10v (16 + 10v + v2) = 0 Solving 16 + 10v + v2 = 0 Solving for variable 'v'. Factor a trinomial. (8 + v)(2 + v) = 0Subproblem 1
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 = -8Subproblem 2
Set the factor '(2 + v)' equal to zero and attempt to solve: Simplifying 2 + v = 0 Solving 2 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + v = 0 + -2 v = 0 + -2 Combine like terms: 0 + -2 = -2 v = -2 Simplifying v = -2Solution
v = {-8, -2}
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