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Simplifying (v + 7)(v + 8) = 0 Reorder the terms: (7 + v)(v + 8) = 0 Reorder the terms: (7 + v)(8 + v) = 0 Multiply (7 + v) * (8 + v) (7(8 + v) + v(8 + v)) = 0 ((8 * 7 + v * 7) + v(8 + v)) = 0 ((56 + 7v) + v(8 + v)) = 0 (56 + 7v + (8 * v + v * v)) = 0 (56 + 7v + (8v + v2)) = 0 Combine like terms: 7v + 8v = 15v (56 + 15v + v2) = 0 Solving 56 + 15v + v2 = 0 Solving for variable 'v'. Factor a trinomial. (8 + v)(7 + 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 '(7 + v)' equal to zero and attempt to solve: Simplifying 7 + v = 0 Solving 7 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + v = 0 + -7 v = 0 + -7 Combine like terms: 0 + -7 = -7 v = -7 Simplifying v = -7Solution
v = {-8, -7}
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