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Simplifying (4a4 + 4a3) + (8a4 + -7a3) = 0 Reorder the terms: (4a3 + 4a4) + (8a4 + -7a3) = 0 Remove parenthesis around (4a3 + 4a4) 4a3 + 4a4 + (8a4 + -7a3) = 0 Reorder the terms: 4a3 + 4a4 + (-7a3 + 8a4) = 0 Remove parenthesis around (-7a3 + 8a4) 4a3 + 4a4 + -7a3 + 8a4 = 0 Reorder the terms: 4a3 + -7a3 + 4a4 + 8a4 = 0 Combine like terms: 4a3 + -7a3 = -3a3 -3a3 + 4a4 + 8a4 = 0 Combine like terms: 4a4 + 8a4 = 12a4 -3a3 + 12a4 = 0 Solving -3a3 + 12a4 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3a3'. 3a3(-1 + 4a) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'a3' equal to zero and attempt to solve: Simplifying a3 = 0 Solving a3 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a3 = 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 + 4a)' equal to zero and attempt to solve: Simplifying -1 + 4a = 0 Solving -1 + 4a = 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 + 4a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4a = 0 + 1 4a = 0 + 1 Combine like terms: 0 + 1 = 1 4a = 1 Divide each side by '4'. a = 0.25 Simplifying a = 0.25Solution
a = {0.25}
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