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Simplifying (1 + v)(3v + -2) = 0 Reorder the terms: (1 + v)(-2 + 3v) = 0 Multiply (1 + v) * (-2 + 3v) (1(-2 + 3v) + v(-2 + 3v)) = 0 ((-2 * 1 + 3v * 1) + v(-2 + 3v)) = 0 ((-2 + 3v) + v(-2 + 3v)) = 0 (-2 + 3v + (-2 * v + 3v * v)) = 0 (-2 + 3v + (-2v + 3v2)) = 0 Combine like terms: 3v + -2v = 1v (-2 + 1v + 3v2) = 0 Solving -2 + 1v + 3v2 = 0 Solving for variable 'v'. Factor a trinomial. (-1 + -1v)(2 + -3v) = 0Subproblem 1
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 = -1Subproblem 2
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 = 0.6666666667Solution
v = {-1, 0.6666666667}
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