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Simplifying 12 + -2e3x = -242 Solving 12 + -2e3x = -242 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -2e3x = -242 + -12 Combine like terms: 12 + -12 = 0 0 + -2e3x = -242 + -12 -2e3x = -242 + -12 Combine like terms: -242 + -12 = -254 -2e3x = -254 Divide each side by '-2x'. e3 = 127x-1 Simplifying e3 = 127x-1 Combine like terms: 127x-1 + -127x-1 = 0 e3 + -127x-1 = 0 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e3x + -127) = 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 '(e3x + -127)' equal to zero and attempt to solve: Simplifying e3x + -127 = 0 Reorder the terms: -127 + e3x = 0 Solving -127 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '127' to each side of the equation. -127 + 127 + e3x = 0 + 127 Combine like terms: -127 + 127 = 0 0 + e3x = 0 + 127 e3x = 0 + 127 Combine like terms: 0 + 127 = 127 e3x = 127 Divide each side by 'x'. e3 = 127x-1 Simplifying e3 = 127x-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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