36X^2-18X+2=0

Solution for 36X^2-18X+2=0 equation:

Simplifying
36X2 + -18X + 2 = 0

Reorder the terms:
2 + -18X + 36X2 = 0

Solving
2 + -18X + 36X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -9X + 18X2) = 0

Factor a trinomial.
2((1 + -6X)(1 + -3X)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(1 + -6X)' equal to zero and attempt to solve:

Simplifying
1 + -6X = 0

Solving
1 + -6X = 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 + -6X = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6X = 0 + -1
-6X = 0 + -1

Combine like terms: 0 + -1 = -1
-6X = -1

Divide each side by '-6'.
X = 0.1666666667

Simplifying
X = 0.1666666667
Subproblem 2
Set the factor '(1 + -3X)' equal to zero and attempt to solve:

Simplifying
1 + -3X = 0

Solving
1 + -3X = 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 + -3X = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3X = 0 + -1
-3X = 0 + -1

Combine like terms: 0 + -1 = -1
-3X = -1

Divide each side by '-3'.
X = 0.3333333333

Simplifying
X = 0.3333333333
Solution
X = {0.1666666667, 0.3333333333}