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Simplifying -9a6c4(5c3 + 3a + -6) = 0 Reorder the terms: -9a6c4(-6 + 3a + 5c3) = 0 (-6 * -9a6c4 + 3a * -9a6c4 + 5c3 * -9a6c4) = 0 Reorder the terms: (54a6c4 + -45a6c7 + -27a7c4) = 0 (54a6c4 + -45a6c7 + -27a7c4) = 0 Solving 54a6c4 + -45a6c7 + -27a7c4 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '9a6c4'. 9a6c4(6 + -5c3 + -3a) = 0 Ignore the factor 9.Subproblem 1
Set the factor 'a6c4' equal to zero and attempt to solve: Simplifying a6c4 = 0 Solving a6c4 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a6c4 = 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 '(6 + -5c3 + -3a)' equal to zero and attempt to solve: Simplifying 6 + -5c3 + -3a = 0 Reorder the terms: 6 + -3a + -5c3 = 0 Solving 6 + -3a + -5c3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -3a + -6 + -5c3 = 0 + -6 Reorder the terms: 6 + -6 + -3a + -5c3 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -3a + -5c3 = 0 + -6 -3a + -5c3 = 0 + -6 Combine like terms: 0 + -6 = -6 -3a + -5c3 = -6 Add '5c3' to each side of the equation. -3a + -5c3 + 5c3 = -6 + 5c3 Combine like terms: -5c3 + 5c3 = 0 -3a + 0 = -6 + 5c3 -3a = -6 + 5c3 Divide each side by '-3'. a = 2 + -1.666666667c3 Simplifying a = 2 + -1.666666667c3Solution
a = {2 + -1.666666667c3}
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