4e^5x-7+2=18

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Solution for 4e^5x-7+2=18 equation:


Simplifying
4e5x + -7 + 2 = 18

Reorder the terms:
-7 + 2 + 4e5x = 18

Combine like terms: -7 + 2 = -5
-5 + 4e5x = 18

Solving
-5 + 4e5x = 18

Solving for variable 'e'.

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

Add '5' to each side of the equation.
-5 + 5 + 4e5x = 18 + 5

Combine like terms: -5 + 5 = 0
0 + 4e5x = 18 + 5
4e5x = 18 + 5

Combine like terms: 18 + 5 = 23
4e5x = 23

Divide each side by '4x'.
e5 = 5.75x-1

Simplifying
e5 = 5.75x-1

Combine like terms: 5.75x-1 + -5.75x-1 = 0.00
e5 + -5.75x-1 = 0.00

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e5x + -5.75) = 0.00

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 '(e5x + -5.75)' equal to zero and attempt to solve: Simplifying e5x + -5.75 = 0 Reorder the terms: -5.75 + e5x = 0 Solving -5.75 + e5x = 0 Move all terms containing e to the left, all other terms to the right. Add '5.75' to each side of the equation. -5.75 + 5.75 + e5x = 0 + 5.75 Combine like terms: -5.75 + 5.75 = 0.00 0.00 + e5x = 0 + 5.75 e5x = 0 + 5.75 Combine like terms: 0 + 5.75 = 5.75 e5x = 5.75 Divide each side by 'x'. e5 = 5.75x-1 Simplifying e5 = 5.75x-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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