78x^7=6x^5

Solution for 78x^7=6x^5 equation:

Simplifying
78x7 = 6x5

Solving
78x7 = 6x5

Solving for variable 'x'.

Reorder the terms:
-6x5 + 78x7 = 6x5 + -6x5

Combine like terms: 6x5 + -6x5 = 0
-6x5 + 78x7 = 0

Factor out the Greatest Common Factor (GCF), '6x5'.
6x5(-1 + 13x2) = 0

Ignore the factor 6.
Subproblem 1
Set the factor 'x5' equal to zero and attempt to solve:

Simplifying
x5 = 0

Solving
x5 = 0

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

Simplifying
x5 = 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 '(-1 + 13x2)' equal to zero and attempt to solve:

Simplifying
-1 + 13x2 = 0

Solving
-1 + 13x2 = 0

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

Add '1' to each side of the equation.
-1 + 1 + 13x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 13x2 = 0 + 1
13x2 = 0 + 1

Combine like terms: 0 + 1 = 1
13x2 = 1

Divide each side by '13'.
x2 = 0.07692307692

Simplifying
x2 = 0.07692307692

Take the square root of each side:
x = {-0.277350098, 0.277350098}
Solution
x = {-0.277350098, 0.277350098}