e^7x+3=0.68

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Solution for e^7x+3=0.68 equation:


Simplifying
e7x + 3 = 0.68

Reorder the terms:
3 + e7x = 0.68

Solving
3 + e7x = 0.68

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 + e7x = 0.68 + -3

Combine like terms: 3 + -3 = 0
0 + e7x = 0.68 + -3
e7x = 0.68 + -3

Combine like terms: 0.68 + -3 = -2.32
e7x = -2.32

Divide each side by 'x'.
e7 = -2.32x-1

Simplifying
e7 = -2.32x-1

Combine like terms: -2.32x-1 + 2.32x-1 = 0.00
e7 + 2.32x-1 = 0.00

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e7x + 2.32) = 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 '(e7x + 2.32)' equal to zero and attempt to solve: Simplifying e7x + 2.32 = 0 Reorder the terms: 2.32 + e7x = 0 Solving 2.32 + e7x = 0 Move all terms containing e to the left, all other terms to the right. Add '-2.32' to each side of the equation. 2.32 + -2.32 + e7x = 0 + -2.32 Combine like terms: 2.32 + -2.32 = 0.00 0.00 + e7x = 0 + -2.32 e7x = 0 + -2.32 Combine like terms: 0 + -2.32 = -2.32 e7x = -2.32 Divide each side by 'x'. e7 = -2.32x-1 Simplifying e7 = -2.32x-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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