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Simplifying (8 + v)(2v + 3) = 0 Reorder the terms: (8 + v)(3 + 2v) = 0 Multiply (8 + v) * (3 + 2v) (8(3 + 2v) + v(3 + 2v)) = 0 ((3 * 8 + 2v * 8) + v(3 + 2v)) = 0 ((24 + 16v) + v(3 + 2v)) = 0 (24 + 16v + (3 * v + 2v * v)) = 0 (24 + 16v + (3v + 2v2)) = 0 Combine like terms: 16v + 3v = 19v (24 + 19v + 2v2) = 0 Solving 24 + 19v + 2v2 = 0 Solving for variable 'v'. Factor a trinomial. (8 + v)(3 + 2v) = 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 + 2v)' equal to zero and attempt to solve: Simplifying 3 + 2v = 0 Solving 3 + 2v = 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 + 2v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2v = 0 + -3 2v = 0 + -3 Combine like terms: 0 + -3 = -3 2v = -3 Divide each side by '2'. v = -1.5 Simplifying v = -1.5Solution
v = {-8, -1.5}
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