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Simplifying 2e4a = 8e6a Solving 2ae4 = 8ae6 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8ae6' to each side of the equation. 2ae4 + -8ae6 = 8ae6 + -8ae6 Combine like terms: 8ae6 + -8ae6 = 0 2ae4 + -8ae6 = 0 Factor out the Greatest Common Factor (GCF), '2ae4'. 2ae4(1 + -4e2) = 0 Factor a difference between two squares. 2ae4((1 + 2e)(1 + -2e)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'ae4' equal to zero and attempt to solve: Simplifying ae4 = 0 Solving ae4 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ae4 = 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 + 2e)' equal to zero and attempt to solve: Simplifying 1 + 2e = 0 Solving 1 + 2e = 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 + 2e = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2e = 0 + -1 2e = 0 + -1 Combine like terms: 0 + -1 = -1 2e = -1 Add '-2e' to each side of the equation. 2e + -2e = -1 + -2e Combine like terms: 2e + -2e = 0 0 = -1 + -2e Simplifying 0 = -1 + -2e The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(1 + -2e)' equal to zero and attempt to solve: Simplifying 1 + -2e = 0 Solving 1 + -2e = 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 + -2e = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2e = 0 + -1 -2e = 0 + -1 Combine like terms: 0 + -1 = -1 -2e = -1 Add '2e' to each side of the equation. -2e + 2e = -1 + 2e Combine like terms: -2e + 2e = 0 0 = -1 + 2e Simplifying 0 = -1 + 2e The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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