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Simplifying 9a(a + -3) = 3a + -25 Reorder the terms: 9a(-3 + a) = 3a + -25 (-3 * 9a + a * 9a) = 3a + -25 (-27a + 9a2) = 3a + -25 Reorder the terms: -27a + 9a2 = -25 + 3a Solving -27a + 9a2 = -25 + 3a Solving for variable 'a'. Reorder the terms: 25 + -27a + -3a + 9a2 = -25 + 3a + 25 + -3a Combine like terms: -27a + -3a = -30a 25 + -30a + 9a2 = -25 + 3a + 25 + -3a Reorder the terms: 25 + -30a + 9a2 = -25 + 25 + 3a + -3a Combine like terms: -25 + 25 = 0 25 + -30a + 9a2 = 0 + 3a + -3a 25 + -30a + 9a2 = 3a + -3a Combine like terms: 3a + -3a = 0 25 + -30a + 9a2 = 0 Factor a trinomial. (5 + -3a)(5 + -3a) = 0Subproblem 1
Set the factor '(5 + -3a)' equal to zero and attempt to solve: Simplifying 5 + -3a = 0 Solving 5 + -3a = 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 + -3a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3a = 0 + -5 -3a = 0 + -5 Combine like terms: 0 + -5 = -5 -3a = -5 Divide each side by '-3'. a = 1.666666667 Simplifying a = 1.666666667Subproblem 2
Set the factor '(5 + -3a)' equal to zero and attempt to solve: Simplifying 5 + -3a = 0 Solving 5 + -3a = 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 + -3a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3a = 0 + -5 -3a = 0 + -5 Combine like terms: 0 + -5 = -5 -3a = -5 Divide each side by '-3'. a = 1.666666667 Simplifying a = 1.666666667Solution
a = {1.666666667, 1.666666667}
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