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Simplifying 7 = 5e2x Solving 7 = 5e2x Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-5e2x' to each side of the equation. 7 + -5e2x = 5e2x + -5e2x Combine like terms: 5e2x + -5e2x = 0 7 + -5e2x = 0 Add '-7' to each side of the equation. 7 + -7 + -5e2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5e2x = 0 + -7 -5e2x = 0 + -7 Combine like terms: 0 + -7 = -7 -5e2x = -7 Divide each side by '-5x'. e2 = 1.4x-1 Simplifying e2 = 1.4x-1 Combine like terms: 1.4x-1 + -1.4x-1 = 0.0 e2 + -1.4x-1 = 0.0 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e2x + -1.4) = 0.0Subproblem 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 '(e2x + -1.4)' equal to zero and attempt to solve: Simplifying e2x + -1.4 = 0 Reorder the terms: -1.4 + e2x = 0 Solving -1.4 + e2x = 0 Move all terms containing e to the left, all other terms to the right. Add '1.4' to each side of the equation. -1.4 + 1.4 + e2x = 0 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + e2x = 0 + 1.4 e2x = 0 + 1.4 Combine like terms: 0 + 1.4 = 1.4 e2x = 1.4 Divide each side by 'x'. e2 = 1.4x-1 Simplifying e2 = 1.4x-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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