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Simplifying (5v + -4)(6v + -6) = 0 Reorder the terms: (-4 + 5v)(6v + -6) = 0 Reorder the terms: (-4 + 5v)(-6 + 6v) = 0 Multiply (-4 + 5v) * (-6 + 6v) (-4(-6 + 6v) + 5v * (-6 + 6v)) = 0 ((-6 * -4 + 6v * -4) + 5v * (-6 + 6v)) = 0 ((24 + -24v) + 5v * (-6 + 6v)) = 0 (24 + -24v + (-6 * 5v + 6v * 5v)) = 0 (24 + -24v + (-30v + 30v2)) = 0 Combine like terms: -24v + -30v = -54v (24 + -54v + 30v2) = 0 Solving 24 + -54v + 30v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '6'. 6(4 + -9v + 5v2) = 0 Factor a trinomial. 6((4 + -5v)(1 + -1v)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(4 + -5v)' equal to zero and attempt to solve: Simplifying 4 + -5v = 0 Solving 4 + -5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5v = 0 + -4 -5v = 0 + -4 Combine like terms: 0 + -4 = -4 -5v = -4 Divide each side by '-5'. v = 0.8 Simplifying v = 0.8Subproblem 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 = {0.8, 1}
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