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Simplifying (v + 21)(v + -24) = 0 Reorder the terms: (21 + v)(v + -24) = 0 Reorder the terms: (21 + v)(-24 + v) = 0 Multiply (21 + v) * (-24 + v) (21(-24 + v) + v(-24 + v)) = 0 ((-24 * 21 + v * 21) + v(-24 + v)) = 0 ((-504 + 21v) + v(-24 + v)) = 0 (-504 + 21v + (-24 * v + v * v)) = 0 (-504 + 21v + (-24v + v2)) = 0 Combine like terms: 21v + -24v = -3v (-504 + -3v + v2) = 0 Solving -504 + -3v + v2 = 0 Solving for variable 'v'. Factor a trinomial. (-21 + -1v)(24 + -1v) = 0Subproblem 1
Set the factor '(-21 + -1v)' equal to zero and attempt to solve: Simplifying -21 + -1v = 0 Solving -21 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -1v = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -1v = 0 + 21 -1v = 0 + 21 Combine like terms: 0 + 21 = 21 -1v = 21 Divide each side by '-1'. v = -21 Simplifying v = -21Subproblem 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 = {-21, 24}
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