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Simplifying (3v + -8)(2 + -1v) = 0 Reorder the terms: (-8 + 3v)(2 + -1v) = 0 Multiply (-8 + 3v) * (2 + -1v) (-8(2 + -1v) + 3v * (2 + -1v)) = 0 ((2 * -8 + -1v * -8) + 3v * (2 + -1v)) = 0 ((-16 + 8v) + 3v * (2 + -1v)) = 0 (-16 + 8v + (2 * 3v + -1v * 3v)) = 0 (-16 + 8v + (6v + -3v2)) = 0 Combine like terms: 8v + 6v = 14v (-16 + 14v + -3v2) = 0 Solving -16 + 14v + -3v2 = 0 Solving for variable 'v'. Factor a trinomial. (-8 + 3v)(2 + -1v) = 0Subproblem 1
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 = 2.666666667Subproblem 2
Set the factor '(2 + -1v)' equal to zero and attempt to solve: Simplifying 2 + -1v = 0 Solving 2 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1v = 0 + -2 -1v = 0 + -2 Combine like terms: 0 + -2 = -2 -1v = -2 Divide each side by '-1'. v = 2 Simplifying v = 2Solution
v = {2.666666667, 2}
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