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Simplifying (9a + -8)(9a + -8) = 0 Reorder the terms: (-8 + 9a)(9a + -8) = 0 Reorder the terms: (-8 + 9a)(-8 + 9a) = 0 Multiply (-8 + 9a) * (-8 + 9a) (-8(-8 + 9a) + 9a * (-8 + 9a)) = 0 ((-8 * -8 + 9a * -8) + 9a * (-8 + 9a)) = 0 ((64 + -72a) + 9a * (-8 + 9a)) = 0 (64 + -72a + (-8 * 9a + 9a * 9a)) = 0 (64 + -72a + (-72a + 81a2)) = 0 Combine like terms: -72a + -72a = -144a (64 + -144a + 81a2) = 0 Solving 64 + -144a + 81a2 = 0 Solving for variable 'a'. Factor a trinomial. (8 + -9a)(8 + -9a) = 0Subproblem 1
Set the factor '(8 + -9a)' equal to zero and attempt to solve: Simplifying 8 + -9a = 0 Solving 8 + -9a = 0 Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -9a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -9a = 0 + -8 -9a = 0 + -8 Combine like terms: 0 + -8 = -8 -9a = -8 Divide each side by '-9'. a = 0.8888888889 Simplifying a = 0.8888888889Subproblem 2
Set the factor '(8 + -9a)' equal to zero and attempt to solve: Simplifying 8 + -9a = 0 Solving 8 + -9a = 0 Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -9a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -9a = 0 + -8 -9a = 0 + -8 Combine like terms: 0 + -8 = -8 -9a = -8 Divide each side by '-9'. a = 0.8888888889 Simplifying a = 0.8888888889Solution
a = {0.8888888889, 0.8888888889}
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