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Simplifying 2a2 = -15a + -28 Reorder the terms: 2a2 = -28 + -15a Solving 2a2 = -28 + -15a Solving for variable 'a'. Reorder the terms: 28 + 15a + 2a2 = -28 + -15a + 28 + 15a Reorder the terms: 28 + 15a + 2a2 = -28 + 28 + -15a + 15a Combine like terms: -28 + 28 = 0 28 + 15a + 2a2 = 0 + -15a + 15a 28 + 15a + 2a2 = -15a + 15a Combine like terms: -15a + 15a = 0 28 + 15a + 2a2 = 0 Factor a trinomial. (4 + a)(7 + 2a) = 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 + 2a)' equal to zero and attempt to solve: Simplifying 7 + 2a = 0 Solving 7 + 2a = 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 + 2a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2a = 0 + -7 2a = 0 + -7 Combine like terms: 0 + -7 = -7 2a = -7 Divide each side by '2'. a = -3.5 Simplifying a = -3.5Solution
a = {-4, -3.5}
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