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Simplifying (a + 7)(a + -18) = 0 Reorder the terms: (7 + a)(a + -18) = 0 Reorder the terms: (7 + a)(-18 + a) = 0 Multiply (7 + a) * (-18 + a) (7(-18 + a) + a(-18 + a)) = 0 ((-18 * 7 + a * 7) + a(-18 + a)) = 0 ((-126 + 7a) + a(-18 + a)) = 0 (-126 + 7a + (-18 * a + a * a)) = 0 (-126 + 7a + (-18a + a2)) = 0 Combine like terms: 7a + -18a = -11a (-126 + -11a + a2) = 0 Solving -126 + -11a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (-7 + -1a)(18 + -1a) = 0Subproblem 1
Set the factor '(-7 + -1a)' equal to zero and attempt to solve: Simplifying -7 + -1a = 0 Solving -7 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1a = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1a = 0 + 7 -1a = 0 + 7 Combine like terms: 0 + 7 = 7 -1a = 7 Divide each side by '-1'. a = -7 Simplifying a = -7Subproblem 2
Set the factor '(18 + -1a)' equal to zero and attempt to solve: Simplifying 18 + -1a = 0 Solving 18 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1a = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1a = 0 + -18 -1a = 0 + -18 Combine like terms: 0 + -18 = -18 -1a = -18 Divide each side by '-1'. a = 18 Simplifying a = 18Solution
a = {-7, 18}
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