6x=2x^2+11x^2

Solution for 6x=2x^2+11x^2 equation:

Simplifying
6x = 2x2 + 11x2

Combine like terms: 2x2 + 11x2 = 13x2
6x = 13x2

Solving
6x = 13x2

Solving for variable 'x'.

Combine like terms: 13x2 + -13x2 = 0
6x + -13x2 = 0

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

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(6 + -13x)' equal to zero and attempt to solve:

Simplifying
6 + -13x = 0

Solving
6 + -13x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -13x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -13x = 0 + -6
-13x = 0 + -6

Combine like terms: 0 + -6 = -6
-13x = -6

Divide each side by '-13'.
x = 0.4615384615

Simplifying
x = 0.4615384615
Solution
x = {0, 0.4615384615}