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Simplifying 5e4x + -6 = 10 Reorder the terms: -6 + 5e4x = 10 Solving -6 + 5e4x = 10 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 5e4x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 5e4x = 10 + 6 5e4x = 10 + 6 Combine like terms: 10 + 6 = 16 5e4x = 16 Divide each side by '5x'. e4 = 3.2x-1 Simplifying e4 = 3.2x-1 Combine like terms: 3.2x-1 + -3.2x-1 = 0.0 e4 + -3.2x-1 = 0.0 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e4x + -3.2) = 0.0Subproblem 1
Set the factor 'x-1' equal to zero and attempt to solve: Simplifying x-1 = 0 Solving x-1 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1x-1' to each side of the equation. x-1 + -1x-1 = 0 + -1x-1 Remove the zero: 0 = -1x-1 Simplifying 0 = -1x-1 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 '(e4x + -3.2)' equal to zero and attempt to solve: Simplifying e4x + -3.2 = 0 Reorder the terms: -3.2 + e4x = 0 Solving -3.2 + e4x = 0 Move all terms containing e to the left, all other terms to the right. Add '3.2' to each side of the equation. -3.2 + 3.2 + e4x = 0 + 3.2 Combine like terms: -3.2 + 3.2 = 0.0 0.0 + e4x = 0 + 3.2 e4x = 0 + 3.2 Combine like terms: 0 + 3.2 = 3.2 e4x = 3.2 Divide each side by 'x'. e4 = 3.2x-1 Simplifying e4 = 3.2x-1 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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