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Simplifying f(a) = 2a + -1andg(a) * 2theng(f(a)) Multiply f * a af = 2a + -1andg(a) * 2theng(f(a)) Multiply f * a af = 2a + -1adgn * a * 2eghnt(af) Reorder the terms for easier multiplication: af = 2a + -1 * 2adgn * a * eghnt * af Multiply -1 * 2 af = 2a + -2adgn * a * eghnt * af Multiply adgn * a af = 2a + -2a2dgn * eghnt * af Multiply a2dgn * eghnt af = 2a + -2a2deg2hn2t * af Multiply a2deg2hn2t * af af = 2a + -2a3defg2hn2t Solving af = 2a + -2a3defg2hn2t Solving for variable 'a'. Reorder the terms: -2a + af + 2a3defg2hn2t = 2a + -2a3defg2hn2t + -2a + 2a3defg2hn2t Reorder the terms: -2a + af + 2a3defg2hn2t = 2a + -2a + -2a3defg2hn2t + 2a3defg2hn2t Combine like terms: 2a + -2a = 0 -2a + af + 2a3defg2hn2t = 0 + -2a3defg2hn2t + 2a3defg2hn2t -2a + af + 2a3defg2hn2t = -2a3defg2hn2t + 2a3defg2hn2t Combine like terms: -2a3defg2hn2t + 2a3defg2hn2t = 0 -2a + af + 2a3defg2hn2t = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(-2 + f + 2a2defg2hn2t) = 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 '(-2 + f + 2a2defg2hn2t)' equal to zero and attempt to solve: Simplifying -2 + f + 2a2defg2hn2t = 0 Reorder the terms: -2 + 2a2defg2hn2t + f = 0 Solving -2 + 2a2defg2hn2t + f = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2a2defg2hn2t + 2 + f = 0 + 2 Reorder the terms: -2 + 2 + 2a2defg2hn2t + f = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 2a2defg2hn2t + f = 0 + 2 2a2defg2hn2t + f = 0 + 2 Combine like terms: 0 + 2 = 2 2a2defg2hn2t + f = 2 Add '-1f' to each side of the equation. 2a2defg2hn2t + f + -1f = 2 + -1f Combine like terms: f + -1f = 0 2a2defg2hn2t + 0 = 2 + -1f 2a2defg2hn2t = 2 + -1f Divide each side by '2defg2hn2t'. a2 = d-1e-1f-1g-2h-1n-2t-1 + -0.5d-1e-1g-2h-1n-2t-1 Simplifying a2 = d-1e-1f-1g-2h-1n-2t-1 + -0.5d-1e-1g-2h-1n-2t-1 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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