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Simplifying 10e3x + -1e = 2e3x Reorder the terms: -1e + 10e3x = 2e3x Solving -1e + 10e3x = 2e3x Solving for variable 'e'. Combine like terms: 10e3x + -2e3x = 8e3x -1e + 8e3x = 2e3x + -2e3x Combine like terms: 2e3x + -2e3x = 0 -1e + 8e3x = 0 Factor out the Greatest Common Factor (GCF), 'e'. e(-1 + 8e2x) = 0Subproblem 1
Set the factor 'e' equal to zero and attempt to solve: Simplifying e = 0 Solving e = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e = 0Subproblem 2
Set the factor '(-1 + 8e2x)' equal to zero and attempt to solve: Simplifying -1 + 8e2x = 0 Solving -1 + 8e2x = 0 Move all terms containing e to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 8e2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 8e2x = 0 + 1 8e2x = 0 + 1 Combine like terms: 0 + 1 = 1 8e2x = 1 Divide each side by '8x'. e2 = 0.125x-1 Simplifying e2 = 0.125x-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
e = {0}
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