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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 = 17v (-24 + 17v + -3v2) = 0 Solving -24 + 17v + -3v2 = 0 Solving for variable 'v'. Factor a trinomial. (-3 + v)(8 + -3v) = 0Subproblem 1
Set the factor '(-3 + v)' equal to zero and attempt to solve: Simplifying -3 + v = 0 Solving -3 + v = 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 + v = 0 + 3 Combine like terms: -3 + 3 = 0 0 + v = 0 + 3 v = 0 + 3 Combine like terms: 0 + 3 = 3 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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