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Simplifying (6a + -5)(6a + -5) = 0 Reorder the terms: (-5 + 6a)(6a + -5) = 0 Reorder the terms: (-5 + 6a)(-5 + 6a) = 0 Multiply (-5 + 6a) * (-5 + 6a) (-5(-5 + 6a) + 6a * (-5 + 6a)) = 0 ((-5 * -5 + 6a * -5) + 6a * (-5 + 6a)) = 0 ((25 + -30a) + 6a * (-5 + 6a)) = 0 (25 + -30a + (-5 * 6a + 6a * 6a)) = 0 (25 + -30a + (-30a + 36a2)) = 0 Combine like terms: -30a + -30a = -60a (25 + -60a + 36a2) = 0 Solving 25 + -60a + 36a2 = 0 Solving for variable 'a'. Factor a trinomial. (5 + -6a)(5 + -6a) = 0Subproblem 1
Set the factor '(5 + -6a)' equal to zero and attempt to solve: Simplifying 5 + -6a = 0 Solving 5 + -6a = 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 + -6a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6a = 0 + -5 -6a = 0 + -5 Combine like terms: 0 + -5 = -5 -6a = -5 Divide each side by '-6'. a = 0.8333333333 Simplifying a = 0.8333333333Subproblem 2
Set the factor '(5 + -6a)' equal to zero and attempt to solve: Simplifying 5 + -6a = 0 Solving 5 + -6a = 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 + -6a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6a = 0 + -5 -6a = 0 + -5 Combine like terms: 0 + -5 = -5 -6a = -5 Divide each side by '-6'. a = 0.8333333333 Simplifying a = 0.8333333333Solution
a = {0.8333333333, 0.8333333333}
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