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Simplifying (3v + 2)(2v + -2) = 0 Reorder the terms: (2 + 3v)(2v + -2) = 0 Reorder the terms: (2 + 3v)(-2 + 2v) = 0 Multiply (2 + 3v) * (-2 + 2v) (2(-2 + 2v) + 3v * (-2 + 2v)) = 0 ((-2 * 2 + 2v * 2) + 3v * (-2 + 2v)) = 0 ((-4 + 4v) + 3v * (-2 + 2v)) = 0 (-4 + 4v + (-2 * 3v + 2v * 3v)) = 0 (-4 + 4v + (-6v + 6v2)) = 0 Combine like terms: 4v + -6v = -2v (-4 + -2v + 6v2) = 0 Solving -4 + -2v + 6v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + -1v + 3v2) = 0 Factor a trinomial. 2((-2 + -3v)(1 + -1v)) = 0 Ignore the factor 2.Subproblem 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 '(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 = {-0.6666666667, 1}
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