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Simplifying (v + 7)(v + 4) = 0 Reorder the terms: (7 + v)(v + 4) = 0 Reorder the terms: (7 + v)(4 + v) = 0 Multiply (7 + v) * (4 + v) (7(4 + v) + v(4 + v)) = 0 ((4 * 7 + v * 7) + v(4 + v)) = 0 ((28 + 7v) + v(4 + v)) = 0 (28 + 7v + (4 * v + v * v)) = 0 (28 + 7v + (4v + v2)) = 0 Combine like terms: 7v + 4v = 11v (28 + 11v + v2) = 0 Solving 28 + 11v + v2 = 0 Solving for variable 'v'. Factor a trinomial. (7 + v)(4 + v) = 0Subproblem 1
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 = -7Subproblem 2
Set the factor '(4 + v)' equal to zero and attempt to solve: Simplifying 4 + v = 0 Solving 4 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + v = 0 + -4 v = 0 + -4 Combine like terms: 0 + -4 = -4 v = -4 Simplifying v = -4Solution
v = {-7, -4}
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