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Simplifying 2000 = 1000e10x Solving 2000 = 1000e10x Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-1000e10x' to each side of the equation. 2000 + -1000e10x = 1000e10x + -1000e10x Combine like terms: 1000e10x + -1000e10x = 0 2000 + -1000e10x = 0 Add '-2000' to each side of the equation. 2000 + -2000 + -1000e10x = 0 + -2000 Combine like terms: 2000 + -2000 = 0 0 + -1000e10x = 0 + -2000 -1000e10x = 0 + -2000 Combine like terms: 0 + -2000 = -2000 -1000e10x = -2000 Divide each side by '-1000x'. e10 = 2x-1 Simplifying e10 = 2x-1 Combine like terms: 2x-1 + -2x-1 = 0 e10 + -2x-1 = 0 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e10x + -2) = 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 '(e10x + -2)' equal to zero and attempt to solve: Simplifying e10x + -2 = 0 Reorder the terms: -2 + e10x = 0 Solving -2 + e10x = 0 Move all terms containing e to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + e10x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + e10x = 0 + 2 e10x = 0 + 2 Combine like terms: 0 + 2 = 2 e10x = 2 Divide each side by 'x'. e10 = 2x-1 Simplifying e10 = 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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