5e^6x+2=15

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Solution for 5e^6x+2=15 equation:


Simplifying
5e6x + 2 = 15

Reorder the terms:
2 + 5e6x = 15

Solving
2 + 5e6x = 15

Solving for variable 'e'.

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

Add '-2' to each side of the equation.
2 + -2 + 5e6x = 15 + -2

Combine like terms: 2 + -2 = 0
0 + 5e6x = 15 + -2
5e6x = 15 + -2

Combine like terms: 15 + -2 = 13
5e6x = 13

Divide each side by '5x'.
e6 = 2.6x-1

Simplifying
e6 = 2.6x-1

Combine like terms: 2.6x-1 + -2.6x-1 = 0.0
e6 + -2.6x-1 = 0.0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e6x + -2.6) = 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 '(e6x + -2.6)' equal to zero and attempt to solve: Simplifying e6x + -2.6 = 0 Reorder the terms: -2.6 + e6x = 0 Solving -2.6 + e6x = 0 Move all terms containing e to the left, all other terms to the right. Add '2.6' to each side of the equation. -2.6 + 2.6 + e6x = 0 + 2.6 Combine like terms: -2.6 + 2.6 = 0.0 0.0 + e6x = 0 + 2.6 e6x = 0 + 2.6 Combine like terms: 0 + 2.6 = 2.6 e6x = 2.6 Divide each side by 'x'. e6 = 2.6x-1 Simplifying e6 = 2.6x-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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