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Simplifying 30a6 + -104a5 = -90a4 Reorder the terms: -104a5 + 30a6 = -90a4 Solving -104a5 + 30a6 = -90a4 Solving for variable 'a'. Reorder the terms: 90a4 + -104a5 + 30a6 = -90a4 + 90a4 Combine like terms: -90a4 + 90a4 = 0 90a4 + -104a5 + 30a6 = 0 Factor out the Greatest Common Factor (GCF), '2a4'. 2a4(45 + -52a + 15a2) = 0 Factor a trinomial. 2a4((5 + -3a)(9 + -5a)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'a4' equal to zero and attempt to solve: Simplifying a4 = 0 Solving a4 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a4 = 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 '(5 + -3a)' equal to zero and attempt to solve: Simplifying 5 + -3a = 0 Solving 5 + -3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3a = 0 + -5 -3a = 0 + -5 Combine like terms: 0 + -5 = -5 -3a = -5 Divide each side by '-3'. a = 1.666666667 Simplifying a = 1.666666667Subproblem 3
Set the factor '(9 + -5a)' equal to zero and attempt to solve: Simplifying 9 + -5a = 0 Solving 9 + -5a = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5a = 0 + -9 -5a = 0 + -9 Combine like terms: 0 + -9 = -9 -5a = -9 Divide each side by '-5'. a = 1.8 Simplifying a = 1.8Solution
a = {1.666666667, 1.8}
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