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Simplifying 6a3(2a + -5) + -9a2(3a2 + -5a) = 0 Reorder the terms: 6a3(-5 + 2a) + -9a2(3a2 + -5a) = 0 (-5 * 6a3 + 2a * 6a3) + -9a2(3a2 + -5a) = 0 (-30a3 + 12a4) + -9a2(3a2 + -5a) = 0 Reorder the terms: -30a3 + 12a4 + -9a2(-5a + 3a2) = 0 -30a3 + 12a4 + (-5a * -9a2 + 3a2 * -9a2) = 0 -30a3 + 12a4 + (45a3 + -27a4) = 0 Reorder the terms: -30a3 + 45a3 + 12a4 + -27a4 = 0 Combine like terms: -30a3 + 45a3 = 15a3 15a3 + 12a4 + -27a4 = 0 Combine like terms: 12a4 + -27a4 = -15a4 15a3 + -15a4 = 0 Solving 15a3 + -15a4 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '15a3'. 15a3(1 + -1a) = 0 Ignore the factor 15.Subproblem 1
Set the factor 'a3' equal to zero and attempt to solve: Simplifying a3 = 0 Solving a3 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + -1a)' equal to zero and attempt to solve: Simplifying 1 + -1a = 0 Solving 1 + -1a = 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 + -1a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1a = 0 + -1 -1a = 0 + -1 Combine like terms: 0 + -1 = -1 -1a = -1 Divide each side by '-1'. a = 1 Simplifying a = 1Solution
a = {1}
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