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Simplifying (5v + 8)(7 + v) = 0 Reorder the terms: (8 + 5v)(7 + v) = 0 Multiply (8 + 5v) * (7 + v) (8(7 + v) + 5v * (7 + v)) = 0 ((7 * 8 + v * 8) + 5v * (7 + v)) = 0 ((56 + 8v) + 5v * (7 + v)) = 0 (56 + 8v + (7 * 5v + v * 5v)) = 0 (56 + 8v + (35v + 5v2)) = 0 Combine like terms: 8v + 35v = 43v (56 + 43v + 5v2) = 0 Solving 56 + 43v + 5v2 = 0 Solving for variable 'v'. Factor a trinomial. (7 + v)(8 + 5v) = 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 '(8 + 5v)' equal to zero and attempt to solve: Simplifying 8 + 5v = 0 Solving 8 + 5v = 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 + 5v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5v = 0 + -8 5v = 0 + -8 Combine like terms: 0 + -8 = -8 5v = -8 Divide each side by '5'. v = -1.6 Simplifying v = -1.6Solution
v = {-7, -1.6}
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