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Simplifying 18a6 + -25a5 + 8a4 = 0 Reorder the terms: 8a4 + -25a5 + 18a6 = 0 Solving 8a4 + -25a5 + 18a6 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a4'. a4(8 + -25a + 18a2) = 0 Factor a trinomial. a4((1 + -2a)(8 + -9a)) = 0Subproblem 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 '(1 + -2a)' equal to zero and attempt to solve: Simplifying 1 + -2a = 0 Solving 1 + -2a = 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 + -2a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2a = 0 + -1 -2a = 0 + -1 Combine like terms: 0 + -1 = -1 -2a = -1 Divide each side by '-2'. a = 0.5 Simplifying a = 0.5Subproblem 3
Set the factor '(8 + -9a)' equal to zero and attempt to solve: Simplifying 8 + -9a = 0 Solving 8 + -9a = 0 Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -9a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -9a = 0 + -8 -9a = 0 + -8 Combine like terms: 0 + -8 = -8 -9a = -8 Divide each side by '-9'. a = 0.8888888889 Simplifying a = 0.8888888889Solution
a = {0.5, 0.8888888889}
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