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Simplifying 7e2x + -3 = 70 Reorder the terms: -3 + 7e2x = 70 Solving -3 + 7e2x = 70 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 7e2x = 70 + 3 Combine like terms: -3 + 3 = 0 0 + 7e2x = 70 + 3 7e2x = 70 + 3 Combine like terms: 70 + 3 = 73 7e2x = 73 Divide each side by '7x'. e2 = 10.42857143x-1 Simplifying e2 = 10.42857143x-1 Combine like terms: 10.42857143x-1 + -10.42857143x-1 = 0.00000000 e2 + -10.42857143x-1 = 0.00000000 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e2x + -10.42857143) = 0.00000000Subproblem 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 '(e2x + -10.42857143)' equal to zero and attempt to solve: Simplifying e2x + -10.42857143 = 0 Reorder the terms: -10.42857143 + e2x = 0 Solving -10.42857143 + e2x = 0 Move all terms containing e to the left, all other terms to the right. Add '10.42857143' to each side of the equation. -10.42857143 + 10.42857143 + e2x = 0 + 10.42857143 Combine like terms: -10.42857143 + 10.42857143 = 0.00000000 0.00000000 + e2x = 0 + 10.42857143 e2x = 0 + 10.42857143 Combine like terms: 0 + 10.42857143 = 10.42857143 e2x = 10.42857143 Divide each side by 'x'. e2 = 10.42857143x-1 Simplifying e2 = 10.42857143x-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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