7e^2x=8e^3x

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Solution for 7e^2x=8e^3x equation: 


Simplifying
7e2x = 8e3x

Solving
7e2x = 8e3x

Solving for variable 'e'.

Combine like terms: 8e3x + -8e3x = 0
7e2x + -8e3x = 0

Factor out the Greatest Common Factor (GCF), 'e2x'.
e2x(7 + -8e) = 0


Subproblem 1
Set the factor 'e2x' equal to zero and attempt to solve:

Simplifying
e2x = 0

Solving
e2x = 0

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

Simplifying
e2x = 0

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 '(7 + -8e)' equal to zero and attempt to solve:

Simplifying
7 + -8e = 0

Solving
7 + -8e = 0

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

Add '-7' to each side of the equation.
7 + -7 + -8e = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -8e = 0 + -7
-8e = 0 + -7

Combine like terms: 0 + -7 = -7
-8e = -7

Divide each side by '-8'.
e = 0.875

Simplifying
e = 0.875
Solution
e = {0.875}

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