11x=55x^2

Solution for 11x=55x^2 equation:

Simplifying
11x = 55x2

Solving
11x = 55x2

Solving for variable 'x'.

Combine like terms: 55x2 + -55x2 = 0
11x + -55x2 = 0

Factor out the Greatest Common Factor (GCF), '11x'.
11x(1 + -5x) = 0

Ignore the factor 11.
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 '(1 + -5x)' equal to zero and attempt to solve:

Simplifying
1 + -5x = 0

Solving
1 + -5x = 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 + -5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5x = 0 + -1
-5x = 0 + -1

Combine like terms: 0 + -1 = -1
-5x = -1

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2
Solution
x = {0, 0.2}