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Simplifying 1000e4x = 75 Solving 1000e4x = 75 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Divide each side by '1000x'. e4 = 0.075x-1 Simplifying e4 = 0.075x-1 Combine like terms: 0.075x-1 + -0.075x-1 = 0.000 e4 + -0.075x-1 = 0.000 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e4x + -0.075) = 0.000Subproblem 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 + -0.075)' equal to zero and attempt to solve: Simplifying e4x + -0.075 = 0 Reorder the terms: -0.075 + e4x = 0 Solving -0.075 + e4x = 0 Move all terms containing e to the left, all other terms to the right. Add '0.075' to each side of the equation. -0.075 + 0.075 + e4x = 0 + 0.075 Combine like terms: -0.075 + 0.075 = 0.000 0.000 + e4x = 0 + 0.075 e4x = 0 + 0.075 Combine like terms: 0 + 0.075 = 0.075 e4x = 0.075 Divide each side by 'x'. e4 = 0.075x-1 Simplifying e4 = 0.075x-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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