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Simplifying 9a * 9a + 3a + -6a * 6a + -4a = 0 Reorder the terms for easier multiplication: 9 * 9a * a + 3a + -6a * 6a + -4a = 0 Multiply 9 * 9 81a * a + 3a + -6a * 6a + -4a = 0 Multiply a * a 81a2 + 3a + -6a * 6a + -4a = 0 Reorder the terms for easier multiplication: 81a2 + 3a + -6 * 6a * a + -4a = 0 Multiply -6 * 6 81a2 + 3a + -36a * a + -4a = 0 Multiply a * a 81a2 + 3a + -36a2 + -4a = 0 Reorder the terms: 3a + -4a + 81a2 + -36a2 = 0 Combine like terms: 3a + -4a = -1a -1a + 81a2 + -36a2 = 0 Combine like terms: 81a2 + -36a2 = 45a2 -1a + 45a2 = 0 Solving -1a + 45a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(-1 + 45a) = 0Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(-1 + 45a)' equal to zero and attempt to solve: Simplifying -1 + 45a = 0 Solving -1 + 45a = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 45a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 45a = 0 + 1 45a = 0 + 1 Combine like terms: 0 + 1 = 1 45a = 1 Divide each side by '45'. a = 0.02222222222 Simplifying a = 0.02222222222Solution
a = {0, 0.02222222222}
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