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Simplifying (8a2 + 9a) + -1(9a2 + -17a) = 0 Reorder the terms: (9a + 8a2) + -1(9a2 + -17a) = 0 Remove parenthesis around (9a + 8a2) 9a + 8a2 + -1(9a2 + -17a) = 0 Reorder the terms: 9a + 8a2 + -1(-17a + 9a2) = 0 9a + 8a2 + (-17a * -1 + 9a2 * -1) = 0 9a + 8a2 + (17a + -9a2) = 0 Reorder the terms: 9a + 17a + 8a2 + -9a2 = 0 Combine like terms: 9a + 17a = 26a 26a + 8a2 + -9a2 = 0 Combine like terms: 8a2 + -9a2 = -1a2 26a + -1a2 = 0 Solving 26a + -1a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(26 + -1a) = 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 '(26 + -1a)' equal to zero and attempt to solve: Simplifying 26 + -1a = 0 Solving 26 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -1a = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -1a = 0 + -26 -1a = 0 + -26 Combine like terms: 0 + -26 = -26 -1a = -26 Divide each side by '-1'. a = 26 Simplifying a = 26Solution
a = {0, 26}
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