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Simplifying 5a2 + 27a + 28 = 0 Reorder the terms: 28 + 27a + 5a2 = 0 Solving 28 + 27a + 5a2 = 0 Solving for variable 'a'. Factor a trinomial. (4 + a)(7 + 5a) = 0Subproblem 1
Set the factor '(4 + a)' equal to zero and attempt to solve: Simplifying 4 + a = 0 Solving 4 + a = 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 + a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + a = 0 + -4 a = 0 + -4 Combine like terms: 0 + -4 = -4 a = -4 Simplifying a = -4Subproblem 2
Set the factor '(7 + 5a)' equal to zero and attempt to solve: Simplifying 7 + 5a = 0 Solving 7 + 5a = 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 + 5a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5a = 0 + -7 5a = 0 + -7 Combine like terms: 0 + -7 = -7 5a = -7 Divide each side by '5'. a = -1.4 Simplifying a = -1.4Solution
a = {-4, -1.4}
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