13x^5=77x^3

Solution for 13x^5=77x^3 equation:

Simplifying
13x5 = 77x3

Solving
13x5 = 77x3

Solving for variable 'x'.

Reorder the terms:
-77x3 + 13x5 = 77x3 + -77x3

Combine like terms: 77x3 + -77x3 = 0
-77x3 + 13x5 = 0

Factor out the Greatest Common Factor (GCF), 'x3'.
x3(-77 + 13x2) = 0

Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve:

Simplifying
x3 = 0

Solving
x3 = 0

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

Simplifying
x3 = 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 '(-77 + 13x2)' equal to zero and attempt to solve:

Simplifying
-77 + 13x2 = 0

Solving
-77 + 13x2 = 0

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

Add '77' to each side of the equation.
-77 + 77 + 13x2 = 0 + 77

Combine like terms: -77 + 77 = 0
0 + 13x2 = 0 + 77
13x2 = 0 + 77

Combine like terms: 0 + 77 = 77
13x2 = 77

Divide each side by '13'.
x2 = 5.923076923

Simplifying
x2 = 5.923076923

Take the square root of each side:
x = {-2.433737234, 2.433737234}
Solution
x = {-2.433737234, 2.433737234}