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Simplifying (1 + -1v)(3v + -8) = 0 Reorder the terms: (1 + -1v)(-8 + 3v) = 0 Multiply (1 + -1v) * (-8 + 3v) (1(-8 + 3v) + -1v * (-8 + 3v)) = 0 ((-8 * 1 + 3v * 1) + -1v * (-8 + 3v)) = 0 ((-8 + 3v) + -1v * (-8 + 3v)) = 0 (-8 + 3v + (-8 * -1v + 3v * -1v)) = 0 (-8 + 3v + (8v + -3v2)) = 0 Combine like terms: 3v + 8v = 11v (-8 + 11v + -3v2) = 0 Solving -8 + 11v + -3v2 = 0 Solving for variable 'v'. Factor a trinomial. (-8 + 3v)(1 + -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 '(1 + -1v)' equal to zero and attempt to solve: Simplifying 1 + -1v = 0 Solving 1 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1v = 0 + -1 -1v = 0 + -1 Combine like terms: 0 + -1 = -1 -1v = -1 Divide each side by '-1'. v = 1 Simplifying v = 1Solution
v = {2.666666667, 1}
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