e^6x+7=0.42

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Solution for e^6x+7=0.42 equation:


Simplifying
e6x + 7 = 0.42

Reorder the terms:
7 + e6x = 0.42

Solving
7 + e6x = 0.42

Solving for variable 'e'.

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

Add '-7' to each side of the equation.
7 + -7 + e6x = 0.42 + -7

Combine like terms: 7 + -7 = 0
0 + e6x = 0.42 + -7
e6x = 0.42 + -7

Combine like terms: 0.42 + -7 = -6.58
e6x = -6.58

Divide each side by 'x'.
e6 = -6.58x-1

Simplifying
e6 = -6.58x-1

Combine like terms: -6.58x-1 + 6.58x-1 = 0.00
e6 + 6.58x-1 = 0.00

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e6x + 6.58) = 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 + 6.58)' equal to zero and attempt to solve: Simplifying e6x + 6.58 = 0 Reorder the terms: 6.58 + e6x = 0 Solving 6.58 + e6x = 0 Move all terms containing e to the left, all other terms to the right. Add '-6.58' to each side of the equation. 6.58 + -6.58 + e6x = 0 + -6.58 Combine like terms: 6.58 + -6.58 = 0.00 0.00 + e6x = 0 + -6.58 e6x = 0 + -6.58 Combine like terms: 0 + -6.58 = -6.58 e6x = -6.58 Divide each side by 'x'. e6 = -6.58x-1 Simplifying e6 = -6.58x-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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