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Simplifying (5v + 3)(8 + v) = 0 Reorder the terms: (3 + 5v)(8 + v) = 0 Multiply (3 + 5v) * (8 + v) (3(8 + v) + 5v * (8 + v)) = 0 ((8 * 3 + v * 3) + 5v * (8 + v)) = 0 ((24 + 3v) + 5v * (8 + v)) = 0 (24 + 3v + (8 * 5v + v * 5v)) = 0 (24 + 3v + (40v + 5v2)) = 0 Combine like terms: 3v + 40v = 43v (24 + 43v + 5v2) = 0 Solving 24 + 43v + 5v2 = 0 Solving for variable 'v'. Factor a trinomial. (8 + v)(3 + 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 '(3 + 5v)' equal to zero and attempt to solve: Simplifying 3 + 5v = 0 Solving 3 + 5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5v = 0 + -3 5v = 0 + -3 Combine like terms: 0 + -3 = -3 5v = -3 Divide each side by '5'. v = -0.6 Simplifying v = -0.6Solution
v = {-8, -0.6}
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