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Simplifying 25a2 + 90a + 81 = 0 Reorder the terms: 81 + 90a + 25a2 = 0 Solving 81 + 90a + 25a2 = 0 Solving for variable 'a'. Factor a trinomial. (9 + 5a)(9 + 5a) = 0Subproblem 1
Set the factor '(9 + 5a)' equal to zero and attempt to solve: Simplifying 9 + 5a = 0 Solving 9 + 5a = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5a = 0 + -9 5a = 0 + -9 Combine like terms: 0 + -9 = -9 5a = -9 Divide each side by '5'. a = -1.8 Simplifying a = -1.8Subproblem 2
Set the factor '(9 + 5a)' equal to zero and attempt to solve: Simplifying 9 + 5a = 0 Solving 9 + 5a = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5a = 0 + -9 5a = 0 + -9 Combine like terms: 0 + -9 = -9 5a = -9 Divide each side by '5'. a = -1.8 Simplifying a = -1.8Solution
a = {-1.8, -1.8}
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