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Simplifying (a + 21)(a + -24) = 0 Reorder the terms: (21 + a)(a + -24) = 0 Reorder the terms: (21 + a)(-24 + a) = 0 Multiply (21 + a) * (-24 + a) (21(-24 + a) + a(-24 + a)) = 0 ((-24 * 21 + a * 21) + a(-24 + a)) = 0 ((-504 + 21a) + a(-24 + a)) = 0 (-504 + 21a + (-24 * a + a * a)) = 0 (-504 + 21a + (-24a + a2)) = 0 Combine like terms: 21a + -24a = -3a (-504 + -3a + a2) = 0 Solving -504 + -3a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (-21 + -1a)(24 + -1a) = 0Subproblem 1
Set the factor '(-21 + -1a)' equal to zero and attempt to solve: Simplifying -21 + -1a = 0 Solving -21 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -1a = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -1a = 0 + 21 -1a = 0 + 21 Combine like terms: 0 + 21 = 21 -1a = 21 Divide each side by '-1'. a = -21 Simplifying a = -21Subproblem 2
Set the factor '(24 + -1a)' equal to zero and attempt to solve: Simplifying 24 + -1a = 0 Solving 24 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1a = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1a = 0 + -24 -1a = 0 + -24 Combine like terms: 0 + -24 = -24 -1a = -24 Divide each side by '-1'. a = 24 Simplifying a = 24Solution
a = {-21, 24}
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