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Simplifying (4v + -4)(4v + -6) = 0 Reorder the terms: (-4 + 4v)(4v + -6) = 0 Reorder the terms: (-4 + 4v)(-6 + 4v) = 0 Multiply (-4 + 4v) * (-6 + 4v) (-4(-6 + 4v) + 4v * (-6 + 4v)) = 0 ((-6 * -4 + 4v * -4) + 4v * (-6 + 4v)) = 0 ((24 + -16v) + 4v * (-6 + 4v)) = 0 (24 + -16v + (-6 * 4v + 4v * 4v)) = 0 (24 + -16v + (-24v + 16v2)) = 0 Combine like terms: -16v + -24v = -40v (24 + -40v + 16v2) = 0 Solving 24 + -40v + 16v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '8'. 8(3 + -5v + 2v2) = 0 Factor a trinomial. 8((1 + -1v)(3 + -2v)) = 0 Ignore the factor 8.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 '(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 = {1, 1.5}
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