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Simplifying (4v + -4)(5v + -6) = 0 Reorder the terms: (-4 + 4v)(5v + -6) = 0 Reorder the terms: (-4 + 4v)(-6 + 5v) = 0 Multiply (-4 + 4v) * (-6 + 5v) (-4(-6 + 5v) + 4v * (-6 + 5v)) = 0 ((-6 * -4 + 5v * -4) + 4v * (-6 + 5v)) = 0 ((24 + -20v) + 4v * (-6 + 5v)) = 0 (24 + -20v + (-6 * 4v + 5v * 4v)) = 0 (24 + -20v + (-24v + 20v2)) = 0 Combine like terms: -20v + -24v = -44v (24 + -44v + 20v2) = 0 Solving 24 + -44v + 20v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '4'. 4(6 + -11v + 5v2) = 0 Factor a trinomial. 4((1 + -1v)(6 + -5v)) = 0 Ignore the factor 4.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 '(6 + -5v)' equal to zero and attempt to solve: Simplifying 6 + -5v = 0 Solving 6 + -5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5v = 0 + -6 -5v = 0 + -6 Combine like terms: 0 + -6 = -6 -5v = -6 Divide each side by '-5'. v = 1.2 Simplifying v = 1.2Solution
v = {1, 1.2}
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