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Simplifying (4a + 7)(4a + 7) = 0 Reorder the terms: (7 + 4a)(4a + 7) = 0 Reorder the terms: (7 + 4a)(7 + 4a) = 0 Multiply (7 + 4a) * (7 + 4a) (7(7 + 4a) + 4a * (7 + 4a)) = 0 ((7 * 7 + 4a * 7) + 4a * (7 + 4a)) = 0 ((49 + 28a) + 4a * (7 + 4a)) = 0 (49 + 28a + (7 * 4a + 4a * 4a)) = 0 (49 + 28a + (28a + 16a2)) = 0 Combine like terms: 28a + 28a = 56a (49 + 56a + 16a2) = 0 Solving 49 + 56a + 16a2 = 0 Solving for variable 'a'. Factor a trinomial. (7 + 4a)(7 + 4a) = 0Subproblem 1
Set the factor '(7 + 4a)' equal to zero and attempt to solve: Simplifying 7 + 4a = 0 Solving 7 + 4a = 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 + 4a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4a = 0 + -7 4a = 0 + -7 Combine like terms: 0 + -7 = -7 4a = -7 Divide each side by '4'. a = -1.75 Simplifying a = -1.75Subproblem 2
Set the factor '(7 + 4a)' equal to zero and attempt to solve: Simplifying 7 + 4a = 0 Solving 7 + 4a = 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 + 4a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4a = 0 + -7 4a = 0 + -7 Combine like terms: 0 + -7 = -7 4a = -7 Divide each side by '4'. a = -1.75 Simplifying a = -1.75Solution
a = {-1.75, -1.75}
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