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Simplifying (3v + -5)(2v + -2) = 0 Reorder the terms: (-5 + 3v)(2v + -2) = 0 Reorder the terms: (-5 + 3v)(-2 + 2v) = 0 Multiply (-5 + 3v) * (-2 + 2v) (-5(-2 + 2v) + 3v * (-2 + 2v)) = 0 ((-2 * -5 + 2v * -5) + 3v * (-2 + 2v)) = 0 ((10 + -10v) + 3v * (-2 + 2v)) = 0 (10 + -10v + (-2 * 3v + 2v * 3v)) = 0 (10 + -10v + (-6v + 6v2)) = 0 Combine like terms: -10v + -6v = -16v (10 + -16v + 6v2) = 0 Solving 10 + -16v + 6v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '2'. 2(5 + -8v + 3v2) = 0 Factor a trinomial. 2((1 + -1v)(5 + -3v)) = 0 Ignore the factor 2.Subproblem 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 '(5 + -3v)' equal to zero and attempt to solve: Simplifying 5 + -3v = 0 Solving 5 + -3v = 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 + -3v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3v = 0 + -5 -3v = 0 + -5 Combine like terms: 0 + -5 = -5 -3v = -5 Divide each side by '-3'. v = 1.666666667 Simplifying v = 1.666666667Solution
v = {1, 1.666666667}
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