6x^4+7x^4=3x^3

Solution for 6x^4+7x^4=3x^3 equation:

Simplifying
6x4 + 7x4 = 3x3

Combine like terms: 6x4 + 7x4 = 13x4
13x4 = 3x3

Solving
13x4 = 3x3

Solving for variable 'x'.

Reorder the terms:
-3x3 + 13x4 = 3x3 + -3x3

Combine like terms: 3x3 + -3x3 = 0
-3x3 + 13x4 = 0

Factor out the Greatest Common Factor (GCF), 'x3'.
x3(-3 + 13x) = 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 '(-3 + 13x)' equal to zero and attempt to solve:

Simplifying
-3 + 13x = 0

Solving
-3 + 13x = 0

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

Add '3' to each side of the equation.
-3 + 3 + 13x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 13x = 0 + 3
13x = 0 + 3

Combine like terms: 0 + 3 = 3
13x = 3

Divide each side by '13'.
x = 0.2307692308

Simplifying
x = 0.2307692308
Solution
x = {0.2307692308}