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Simplifying f(a) = 4a3 + 5a Multiply f * a af = 4a3 + 5a Reorder the terms: af = 5a + 4a3 Solving af = 5a + 4a3 Solving for variable 'a'. Reorder the terms: -5a + af + -4a3 = 5a + 4a3 + -5a + -4a3 Reorder the terms: -5a + af + -4a3 = 5a + -5a + 4a3 + -4a3 Combine like terms: 5a + -5a = 0 -5a + af + -4a3 = 0 + 4a3 + -4a3 -5a + af + -4a3 = 4a3 + -4a3 Combine like terms: 4a3 + -4a3 = 0 -5a + af + -4a3 = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(-5 + f + -4a2) = 0Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(-5 + f + -4a2)' equal to zero and attempt to solve: Simplifying -5 + f + -4a2 = 0 Reorder the terms: -5 + -4a2 + f = 0 Solving -5 + -4a2 + f = 0 Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -4a2 + 5 + f = 0 + 5 Reorder the terms: -5 + 5 + -4a2 + f = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4a2 + f = 0 + 5 -4a2 + f = 0 + 5 Combine like terms: 0 + 5 = 5 -4a2 + f = 5 Add '-1f' to each side of the equation. -4a2 + f + -1f = 5 + -1f Combine like terms: f + -1f = 0 -4a2 + 0 = 5 + -1f -4a2 = 5 + -1f Divide each side by '-4'. a2 = -1.25 + 0.25f Simplifying a2 = -1.25 + 0.25f The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
a = {0}
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