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Simplifying (-5v + -20)(v + -5) = 0 Reorder the terms: (-20 + -5v)(v + -5) = 0 Reorder the terms: (-20 + -5v)(-5 + v) = 0 Multiply (-20 + -5v) * (-5 + v) (-20(-5 + v) + -5v * (-5 + v)) = 0 ((-5 * -20 + v * -20) + -5v * (-5 + v)) = 0 ((100 + -20v) + -5v * (-5 + v)) = 0 (100 + -20v + (-5 * -5v + v * -5v)) = 0 (100 + -20v + (25v + -5v2)) = 0 Combine like terms: -20v + 25v = 5v (100 + 5v + -5v2) = 0 Solving 100 + 5v + -5v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '5'. 5(20 + v + -1v2) = 0 Factor a trinomial. 5((5 + -1v)(4 + v)) = 0 Ignore the factor 5.Subproblem 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 '(4 + v)' equal to zero and attempt to solve: Simplifying 4 + v = 0 Solving 4 + v = 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 + v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + v = 0 + -4 v = 0 + -4 Combine like terms: 0 + -4 = -4 v = -4 Simplifying v = -4Solution
v = {5, -4}
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