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Simplifying (3 + -1v)(3v + 8) = 0 Reorder the terms: (3 + -1v)(8 + 3v) = 0 Multiply (3 + -1v) * (8 + 3v) (3(8 + 3v) + -1v * (8 + 3v)) = 0 ((8 * 3 + 3v * 3) + -1v * (8 + 3v)) = 0 ((24 + 9v) + -1v * (8 + 3v)) = 0 (24 + 9v + (8 * -1v + 3v * -1v)) = 0 (24 + 9v + (-8v + -3v2)) = 0 Combine like terms: 9v + -8v = 1v (24 + 1v + -3v2) = 0 Solving 24 + 1v + -3v2 = 0 Solving for variable 'v'. Factor a trinomial. (3 + -1v)(8 + 3v) = 0Subproblem 1
Set the factor '(3 + -1v)' equal to zero and attempt to solve: Simplifying 3 + -1v = 0 Solving 3 + -1v = 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 + -1v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1v = 0 + -3 -1v = 0 + -3 Combine like terms: 0 + -3 = -3 -1v = -3 Divide each side by '-1'. v = 3 Simplifying v = 3Subproblem 2
Set the factor '(8 + 3v)' equal to zero and attempt to solve: Simplifying 8 + 3v = 0 Solving 8 + 3v = 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 + 3v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3v = 0 + -8 3v = 0 + -8 Combine like terms: 0 + -8 = -8 3v = -8 Divide each side by '3'. v = -2.666666667 Simplifying v = -2.666666667Solution
v = {3, -2.666666667}
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