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Simplifying 81a2 + -90a + 25 = 0 Reorder the terms: 25 + -90a + 81a2 = 0 Solving 25 + -90a + 81a2 = 0 Solving for variable 'a'. Factor a trinomial. (5 + -9a)(5 + -9a) = 0Subproblem 1
Set the factor '(5 + -9a)' equal to zero and attempt to solve: Simplifying 5 + -9a = 0 Solving 5 + -9a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -9a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9a = 0 + -5 -9a = 0 + -5 Combine like terms: 0 + -5 = -5 -9a = -5 Divide each side by '-9'. a = 0.5555555556 Simplifying a = 0.5555555556Subproblem 2
Set the factor '(5 + -9a)' equal to zero and attempt to solve: Simplifying 5 + -9a = 0 Solving 5 + -9a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -9a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9a = 0 + -5 -9a = 0 + -5 Combine like terms: 0 + -5 = -5 -9a = -5 Divide each side by '-9'. a = 0.5555555556 Simplifying a = 0.5555555556Solution
a = {0.5555555556, 0.5555555556}
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