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Simplifying (5 + v)(2v + -3) = 0 Reorder the terms: (5 + v)(-3 + 2v) = 0 Multiply (5 + v) * (-3 + 2v) (5(-3 + 2v) + v(-3 + 2v)) = 0 ((-3 * 5 + 2v * 5) + v(-3 + 2v)) = 0 ((-15 + 10v) + v(-3 + 2v)) = 0 (-15 + 10v + (-3 * v + 2v * v)) = 0 (-15 + 10v + (-3v + 2v2)) = 0 Combine like terms: 10v + -3v = 7v (-15 + 7v + 2v2) = 0 Solving -15 + 7v + 2v2 = 0 Solving for variable 'v'. Factor a trinomial. (-5 + -1v)(3 + -2v) = 0Subproblem 1
Set the factor '(-5 + -1v)' equal to zero and attempt to solve: Simplifying -5 + -1v = 0 Solving -5 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1v = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1v = 0 + 5 -1v = 0 + 5 Combine like terms: 0 + 5 = 5 -1v = 5 Divide each side by '-1'. v = -5 Simplifying v = -5Subproblem 2
Set the factor '(3 + -2v)' equal to zero and attempt to solve: Simplifying 3 + -2v = 0 Solving 3 + -2v = 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 + -2v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2v = 0 + -3 -2v = 0 + -3 Combine like terms: 0 + -3 = -3 -2v = -3 Divide each side by '-2'. v = 1.5 Simplifying v = 1.5Solution
v = {-5, 1.5}
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