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Simplifying (a + -25)(a + 36) = 0 Reorder the terms: (-25 + a)(a + 36) = 0 Reorder the terms: (-25 + a)(36 + a) = 0 Multiply (-25 + a) * (36 + a) (-25(36 + a) + a(36 + a)) = 0 ((36 * -25 + a * -25) + a(36 + a)) = 0 ((-900 + -25a) + a(36 + a)) = 0 (-900 + -25a + (36 * a + a * a)) = 0 (-900 + -25a + (36a + a2)) = 0 Combine like terms: -25a + 36a = 11a (-900 + 11a + a2) = 0 Solving -900 + 11a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (-36 + -1a)(25 + -1a) = 0Subproblem 1
Set the factor '(-36 + -1a)' equal to zero and attempt to solve: Simplifying -36 + -1a = 0 Solving -36 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -1a = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -1a = 0 + 36 -1a = 0 + 36 Combine like terms: 0 + 36 = 36 -1a = 36 Divide each side by '-1'. a = -36 Simplifying a = -36Subproblem 2
Set the factor '(25 + -1a)' equal to zero and attempt to solve: Simplifying 25 + -1a = 0 Solving 25 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1a = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1a = 0 + -25 -1a = 0 + -25 Combine like terms: 0 + -25 = -25 -1a = -25 Divide each side by '-1'. a = 25 Simplifying a = 25Solution
a = {-36, 25}
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