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Simplifying (5a + 4)(a + 3) = 0 Reorder the terms: (4 + 5a)(a + 3) = 0 Reorder the terms: (4 + 5a)(3 + a) = 0 Multiply (4 + 5a) * (3 + a) (4(3 + a) + 5a * (3 + a)) = 0 ((3 * 4 + a * 4) + 5a * (3 + a)) = 0 ((12 + 4a) + 5a * (3 + a)) = 0 (12 + 4a + (3 * 5a + a * 5a)) = 0 (12 + 4a + (15a + 5a2)) = 0 Combine like terms: 4a + 15a = 19a (12 + 19a + 5a2) = 0 Solving 12 + 19a + 5a2 = 0 Solving for variable 'a'. Factor a trinomial. (3 + a)(4 + 5a) = 0Subproblem 1
Set the factor '(3 + a)' equal to zero and attempt to solve: Simplifying 3 + a = 0 Solving 3 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + a = 0 + -3 a = 0 + -3 Combine like terms: 0 + -3 = -3 a = -3 Simplifying a = -3Subproblem 2
Set the factor '(4 + 5a)' equal to zero and attempt to solve: Simplifying 4 + 5a = 0 Solving 4 + 5a = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5a = 0 + -4 5a = 0 + -4 Combine like terms: 0 + -4 = -4 5a = -4 Divide each side by '5'. a = -0.8 Simplifying a = -0.8Solution
a = {-3, -0.8}
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