36x^2+63x^2=27x

Solution for 36x^2+63x^2=27x equation:

Simplifying
36x2 + 63x2 = 27x

Combine like terms: 36x2 + 63x2 = 99x2
99x2 = 27x

Solving
99x2 = 27x

Solving for variable 'x'.

Reorder the terms:
-27x + 99x2 = 27x + -27x

Combine like terms: 27x + -27x = 0
-27x + 99x2 = 0

Factor out the Greatest Common Factor (GCF), '9x'.
9x(-3 + 11x) = 0

Ignore the factor 9.
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 '(-3 + 11x)' equal to zero and attempt to solve:

Simplifying
-3 + 11x = 0

Solving
-3 + 11x = 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 + 11x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 11x = 0 + 3
11x = 0 + 3

Combine like terms: 0 + 3 = 3
11x = 3

Divide each side by '11'.
x = 0.2727272727

Simplifying
x = 0.2727272727
Solution
x = {0, 0.2727272727}