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