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Simplifying (3v + 2)(v + -4) = 0 Reorder the terms: (2 + 3v)(v + -4) = 0 Reorder the terms: (2 + 3v)(-4 + v) = 0 Multiply (2 + 3v) * (-4 + v) (2(-4 + v) + 3v * (-4 + v)) = 0 ((-4 * 2 + v * 2) + 3v * (-4 + v)) = 0 ((-8 + 2v) + 3v * (-4 + v)) = 0 (-8 + 2v + (-4 * 3v + v * 3v)) = 0 (-8 + 2v + (-12v + 3v2)) = 0 Combine like terms: 2v + -12v = -10v (-8 + -10v + 3v2) = 0 Solving -8 + -10v + 3v2 = 0 Solving for variable 'v'. Factor a trinomial. (-2 + -3v)(4 + -1v) = 0Subproblem 1
Set the factor '(-2 + -3v)' equal to zero and attempt to solve: Simplifying -2 + -3v = 0 Solving -2 + -3v = 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 + -3v = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3v = 0 + 2 -3v = 0 + 2 Combine like terms: 0 + 2 = 2 -3v = 2 Divide each side by '-3'. v = -0.6666666667 Simplifying v = -0.6666666667Subproblem 2
Set the factor '(4 + -1v)' equal to zero and attempt to solve: Simplifying 4 + -1v = 0 Solving 4 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1v = 0 + -4 -1v = 0 + -4 Combine like terms: 0 + -4 = -4 -1v = -4 Divide each side by '-1'. v = 4 Simplifying v = 4Solution
v = {-0.6666666667, 4}
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