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Simplifying (a + 10)(a + 10) = 0 Reorder the terms: (10 + a)(a + 10) = 0 Reorder the terms: (10 + a)(10 + a) = 0 Multiply (10 + a) * (10 + a) (10(10 + a) + a(10 + a)) = 0 ((10 * 10 + a * 10) + a(10 + a)) = 0 ((100 + 10a) + a(10 + a)) = 0 (100 + 10a + (10 * a + a * a)) = 0 (100 + 10a + (10a + a2)) = 0 Combine like terms: 10a + 10a = 20a (100 + 20a + a2) = 0 Solving 100 + 20a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (10 + a)(10 + a) = 0Subproblem 1
Set the factor '(10 + a)' equal to zero and attempt to solve: Simplifying 10 + a = 0 Solving 10 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + a = 0 + -10 Combine like terms: 10 + -10 = 0 0 + a = 0 + -10 a = 0 + -10 Combine like terms: 0 + -10 = -10 a = -10 Simplifying a = -10Subproblem 2
Set the factor '(10 + a)' equal to zero and attempt to solve: Simplifying 10 + a = 0 Solving 10 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + a = 0 + -10 Combine like terms: 10 + -10 = 0 0 + a = 0 + -10 a = 0 + -10 Combine like terms: 0 + -10 = -10 a = -10 Simplifying a = -10Solution
a = {-10, -10}
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