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Simplifying (5v + 7)(8 + v) = 0 Reorder the terms: (7 + 5v)(8 + v) = 0 Multiply (7 + 5v) * (8 + v) (7(8 + v) + 5v * (8 + v)) = 0 ((8 * 7 + v * 7) + 5v * (8 + v)) = 0 ((56 + 7v) + 5v * (8 + v)) = 0 (56 + 7v + (8 * 5v + v * 5v)) = 0 (56 + 7v + (40v + 5v2)) = 0 Combine like terms: 7v + 40v = 47v (56 + 47v + 5v2) = 0 Solving 56 + 47v + 5v2 = 0 Solving for variable 'v'. Factor a trinomial. (8 + v)(7 + 5v) = 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 + 5v)' equal to zero and attempt to solve: Simplifying 7 + 5v = 0 Solving 7 + 5v = 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 + 5v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5v = 0 + -7 5v = 0 + -7 Combine like terms: 0 + -7 = -7 5v = -7 Divide each side by '5'. v = -1.4 Simplifying v = -1.4Solution
v = {-8, -1.4}
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