4=2e^14x-1

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Solution for 4=2e^14x-1 equation:


Simplifying
4 = 2e14x + -1

Reorder the terms:
4 = -1 + 2e14x

Solving
4 = -1 + 2e14x

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Add '-2e14x' to each side of the equation.
4 + -2e14x = -1 + 2e14x + -2e14x

Combine like terms: 2e14x + -2e14x = 0
4 + -2e14x = -1 + 0
4 + -2e14x = -1

Add '-4' to each side of the equation.
4 + -4 + -2e14x = -1 + -4

Combine like terms: 4 + -4 = 0
0 + -2e14x = -1 + -4
-2e14x = -1 + -4

Combine like terms: -1 + -4 = -5
-2e14x = -5

Divide each side by '-2x'.
e14 = 2.5x-1

Simplifying
e14 = 2.5x-1

Combine like terms: 2.5x-1 + -2.5x-1 = 0.0
e14 + -2.5x-1 = 0.0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e14x + -2.5) = 0.0

Subproblem 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 '(e14x + -2.5)' equal to zero and attempt to solve: Simplifying e14x + -2.5 = 0 Reorder the terms: -2.5 + e14x = 0 Solving -2.5 + e14x = 0 Move all terms containing e to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + e14x = 0 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + e14x = 0 + 2.5 e14x = 0 + 2.5 Combine like terms: 0 + 2.5 = 2.5 e14x = 2.5 Divide each side by 'x'. e14 = 2.5x-1 Simplifying e14 = 2.5x-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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