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Simplifying (5a + 11)(a + 10) = 0 Reorder the terms: (11 + 5a)(a + 10) = 0 Reorder the terms: (11 + 5a)(10 + a) = 0 Multiply (11 + 5a) * (10 + a) (11(10 + a) + 5a * (10 + a)) = 0 ((10 * 11 + a * 11) + 5a * (10 + a)) = 0 ((110 + 11a) + 5a * (10 + a)) = 0 (110 + 11a + (10 * 5a + a * 5a)) = 0 (110 + 11a + (50a + 5a2)) = 0 Combine like terms: 11a + 50a = 61a (110 + 61a + 5a2) = 0 Solving 110 + 61a + 5a2 = 0 Solving for variable 'a'. Factor a trinomial. (10 + a)(11 + 5a) = 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 '(11 + 5a)' equal to zero and attempt to solve: Simplifying 11 + 5a = 0 Solving 11 + 5a = 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 + 5a = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 5a = 0 + -11 5a = 0 + -11 Combine like terms: 0 + -11 = -11 5a = -11 Divide each side by '5'. a = -2.2 Simplifying a = -2.2Solution
a = {-10, -2.2}
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