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Simplifying 1 + 14e3x + 2 = 560 Reorder the terms: 1 + 2 + 14e3x = 560 Combine like terms: 1 + 2 = 3 3 + 14e3x = 560 Solving 3 + 14e3x = 560 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 + 14e3x = 560 + -3 Combine like terms: 3 + -3 = 0 0 + 14e3x = 560 + -3 14e3x = 560 + -3 Combine like terms: 560 + -3 = 557 14e3x = 557 Divide each side by '14x'. e3 = 39.78571429x-1 Simplifying e3 = 39.78571429x-1 Combine like terms: 39.78571429x-1 + -39.78571429x-1 = 0.00000000 e3 + -39.78571429x-1 = 0.00000000 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e3x + -39.78571429) = 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 '(e3x + -39.78571429)' equal to zero and attempt to solve: Simplifying e3x + -39.78571429 = 0 Reorder the terms: -39.78571429 + e3x = 0 Solving -39.78571429 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '39.78571429' to each side of the equation. -39.78571429 + 39.78571429 + e3x = 0 + 39.78571429 Combine like terms: -39.78571429 + 39.78571429 = 0.00000000 0.00000000 + e3x = 0 + 39.78571429 e3x = 0 + 39.78571429 Combine like terms: 0 + 39.78571429 = 39.78571429 e3x = 39.78571429 Divide each side by 'x'. e3 = 39.78571429x-1 Simplifying e3 = 39.78571429x-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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