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Simplifying 24a11 + -59a10 + 7a9 = 0 Reorder the terms: 7a9 + -59a10 + 24a11 = 0 Solving 7a9 + -59a10 + 24a11 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a9'. a9(7 + -59a + 24a2) = 0 Factor a trinomial. a9((1 + -8a)(7 + -3a)) = 0Subproblem 1
Set the factor 'a9' equal to zero and attempt to solve: Simplifying a9 = 0 Solving a9 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a9 = 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 + -8a)' equal to zero and attempt to solve: Simplifying 1 + -8a = 0 Solving 1 + -8a = 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 + -8a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8a = 0 + -1 -8a = 0 + -1 Combine like terms: 0 + -1 = -1 -8a = -1 Divide each side by '-8'. a = 0.125 Simplifying a = 0.125Subproblem 3
Set the factor '(7 + -3a)' equal to zero and attempt to solve: Simplifying 7 + -3a = 0 Solving 7 + -3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3a = 0 + -7 -3a = 0 + -7 Combine like terms: 0 + -7 = -7 -3a = -7 Divide each side by '-3'. a = 2.333333333 Simplifying a = 2.333333333Solution
a = {0.125, 2.333333333}
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