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Simplifying (8 + -1v)(2v + 3) = 0 Reorder the terms: (8 + -1v)(3 + 2v) = 0 Multiply (8 + -1v) * (3 + 2v) (8(3 + 2v) + -1v * (3 + 2v)) = 0 ((3 * 8 + 2v * 8) + -1v * (3 + 2v)) = 0 ((24 + 16v) + -1v * (3 + 2v)) = 0 (24 + 16v + (3 * -1v + 2v * -1v)) = 0 (24 + 16v + (-3v + -2v2)) = 0 Combine like terms: 16v + -3v = 13v (24 + 13v + -2v2) = 0 Solving 24 + 13v + -2v2 = 0 Solving for variable 'v'. Factor a trinomial. (8 + -1v)(3 + 2v) = 0Subproblem 1
Set the factor '(8 + -1v)' equal to zero and attempt to solve: Simplifying 8 + -1v = 0 Solving 8 + -1v = 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 + -1v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1v = 0 + -8 -1v = 0 + -8 Combine like terms: 0 + -8 = -8 -1v = -8 Divide each side by '-1'. 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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