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