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Simplifying (a + -7)(a + 11) = 0 Reorder the terms: (-7 + a)(a + 11) = 0 Reorder the terms: (-7 + a)(11 + a) = 0 Multiply (-7 + a) * (11 + a) (-7(11 + a) + a(11 + a)) = 0 ((11 * -7 + a * -7) + a(11 + a)) = 0 ((-77 + -7a) + a(11 + a)) = 0 (-77 + -7a + (11 * a + a * a)) = 0 (-77 + -7a + (11a + a2)) = 0 Combine like terms: -7a + 11a = 4a (-77 + 4a + a2) = 0 Solving -77 + 4a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (-11 + -1a)(7 + -1a) = 0Subproblem 1
Set the factor '(-11 + -1a)' equal to zero and attempt to solve: Simplifying -11 + -1a = 0 Solving -11 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1a = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1a = 0 + 11 -1a = 0 + 11 Combine like terms: 0 + 11 = 11 -1a = 11 Divide each side by '-1'. a = -11 Simplifying a = -11Subproblem 2
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 = 7Solution
a = {-11, 7}
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