(x^7)(5e^5x)+(7x^6)(e^5x)=0

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Solution for (x^7)(5e^5x)+(7x^6)(e^5x)=0 equation: 


Simplifying
(x7)(5e5x) + (7x6)(e5x) = 0

Remove parenthesis around (5e5x)
x7 * 5e5x + (7x6)(e5x) = 0

Reorder the terms for easier multiplication:
5x7 * e5x + (7x6)(e5x) = 0

Multiply x7 * e5x
5e5x8 + (7x6)(e5x) = 0

Remove parenthesis around (7x6)
5e5x8 + 7x6(e5x) = 0

Multiply x6 * e5x
5e5x8 + 7e5x7 = 0

Reorder the terms:
7e5x7 + 5e5x8 = 0

Solving
7e5x7 + 5e5x8 = 0

Solving for variable 'e'.

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

Factor out the Greatest Common Factor (GCF), 'e5x7'.
e5x7(7 + 5x) = 0


Subproblem 1
Set the factor 'e5x7' equal to zero and attempt to solve:

Simplifying
e5x7 = 0

Solving
e5x7 = 0

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

Simplifying
e5x7 = 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 + 5x)' equal to zero and attempt to solve:

Simplifying
7 + 5x = 0

Solving
7 + 5x = 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 + 5x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 5x = 0 + -7
5x = 0 + -7

Combine like terms: 0 + -7 = -7
5x = -7

Add '-5x' to each side of the equation.
5x + -5x = -7 + -5x

Combine like terms: 5x + -5x = 0
0 = -7 + -5x

Simplifying
0 = -7 + -5x

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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