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Simplifying 19e2x = 11(e2x + 10) Reorder the terms: 19e2x = 11(10 + e2x) 19e2x = (10 * 11 + e2x * 11) 19e2x = (110 + 11e2x) Solving 19e2x = 110 + 11e2x Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-11e2x' to each side of the equation. 19e2x + -11e2x = 110 + 11e2x + -11e2x Combine like terms: 19e2x + -11e2x = 8e2x 8e2x = 110 + 11e2x + -11e2x Combine like terms: 11e2x + -11e2x = 0 8e2x = 110 + 0 8e2x = 110 Divide each side by '8x'. e2 = 13.75x-1 Simplifying e2 = 13.75x-1 Combine like terms: 13.75x-1 + -13.75x-1 = 0.00 e2 + -13.75x-1 = 0.00 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e2x + -13.75) = 0.00Subproblem 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 + -13.75)' equal to zero and attempt to solve: Simplifying e2x + -13.75 = 0 Reorder the terms: -13.75 + e2x = 0 Solving -13.75 + e2x = 0 Move all terms containing e to the left, all other terms to the right. Add '13.75' to each side of the equation. -13.75 + 13.75 + e2x = 0 + 13.75 Combine like terms: -13.75 + 13.75 = 0.00 0.00 + e2x = 0 + 13.75 e2x = 0 + 13.75 Combine like terms: 0 + 13.75 = 13.75 e2x = 13.75 Divide each side by 'x'. e2 = 13.75x-1 Simplifying e2 = 13.75x-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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