5e^6x+3=0.1

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Solution for 5e^6x+3=0.1 equation:


Simplifying
5e6x + 3 = 0.1

Reorder the terms:
3 + 5e6x = 0.1

Solving
3 + 5e6x = 0.1

Solving for variable 'e'.

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

Add '-3' to each side of the equation.
3 + -3 + 5e6x = 0.1 + -3

Combine like terms: 3 + -3 = 0
0 + 5e6x = 0.1 + -3
5e6x = 0.1 + -3

Combine like terms: 0.1 + -3 = -2.9
5e6x = -2.9

Divide each side by '5x'.
e6 = -0.58x-1

Simplifying
e6 = -0.58x-1

Combine like terms: -0.58x-1 + 0.58x-1 = 0.00
e6 + 0.58x-1 = 0.00

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e6x + 0.58) = 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 '(e6x + 0.58)' equal to zero and attempt to solve: Simplifying e6x + 0.58 = 0 Reorder the terms: 0.58 + e6x = 0 Solving 0.58 + e6x = 0 Move all terms containing e to the left, all other terms to the right. Add '-0.58' to each side of the equation. 0.58 + -0.58 + e6x = 0 + -0.58 Combine like terms: 0.58 + -0.58 = 0.00 0.00 + e6x = 0 + -0.58 e6x = 0 + -0.58 Combine like terms: 0 + -0.58 = -0.58 e6x = -0.58 Divide each side by 'x'. e6 = -0.58x-1 Simplifying e6 = -0.58x-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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