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Simplifying (v + 20)(v + -24) = 0 Reorder the terms: (20 + v)(v + -24) = 0 Reorder the terms: (20 + v)(-24 + v) = 0 Multiply (20 + v) * (-24 + v) (20(-24 + v) + v(-24 + v)) = 0 ((-24 * 20 + v * 20) + v(-24 + v)) = 0 ((-480 + 20v) + v(-24 + v)) = 0 (-480 + 20v + (-24 * v + v * v)) = 0 (-480 + 20v + (-24v + v2)) = 0 Combine like terms: 20v + -24v = -4v (-480 + -4v + v2) = 0 Solving -480 + -4v + v2 = 0 Solving for variable 'v'. Factor a trinomial. (-20 + -1v)(24 + -1v) = 0Subproblem 1
Set the factor '(-20 + -1v)' equal to zero and attempt to solve: Simplifying -20 + -1v = 0 Solving -20 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -1v = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -1v = 0 + 20 -1v = 0 + 20 Combine like terms: 0 + 20 = 20 -1v = 20 Divide each side by '-1'. v = -20 Simplifying v = -20Subproblem 2
Set the factor '(24 + -1v)' equal to zero and attempt to solve: Simplifying 24 + -1v = 0 Solving 24 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1v = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1v = 0 + -24 -1v = 0 + -24 Combine like terms: 0 + -24 = -24 -1v = -24 Divide each side by '-1'. v = 24 Simplifying v = 24Solution
v = {-20, 24}
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