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Simplifying (a + 24)(a + -28) = 0 Reorder the terms: (24 + a)(a + -28) = 0 Reorder the terms: (24 + a)(-28 + a) = 0 Multiply (24 + a) * (-28 + a) (24(-28 + a) + a(-28 + a)) = 0 ((-28 * 24 + a * 24) + a(-28 + a)) = 0 ((-672 + 24a) + a(-28 + a)) = 0 (-672 + 24a + (-28 * a + a * a)) = 0 (-672 + 24a + (-28a + a2)) = 0 Combine like terms: 24a + -28a = -4a (-672 + -4a + a2) = 0 Solving -672 + -4a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (-24 + -1a)(28 + -1a) = 0Subproblem 1
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 = -24Subproblem 2
Set the factor '(28 + -1a)' equal to zero and attempt to solve: Simplifying 28 + -1a = 0 Solving 28 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -1a = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -1a = 0 + -28 -1a = 0 + -28 Combine like terms: 0 + -28 = -28 -1a = -28 Divide each side by '-1'. a = 28 Simplifying a = 28Solution
a = {-24, 28}
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