36x^2-577x+16=0

Solution for 36x^2-577x+16=0 equation:

Simplifying
36x2 + -577x + 16 = 0

Reorder the terms:
16 + -577x + 36x2 = 0

Solving
16 + -577x + 36x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -36x)(16 + -1x) = 0

Subproblem 1
Set the factor '(1 + -36x)' equal to zero and attempt to solve:

Simplifying
1 + -36x = 0

Solving
1 + -36x = 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 + -36x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -36x = 0 + -1
-36x = 0 + -1

Combine like terms: 0 + -1 = -1
-36x = -1

Divide each side by '-36'.
x = 0.02777777778

Simplifying
x = 0.02777777778
Subproblem 2
Set the factor '(16 + -1x)' equal to zero and attempt to solve:

Simplifying
16 + -1x = 0

Solving
16 + -1x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 0 + -16
-1x = 0 + -16

Combine like terms: 0 + -16 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16
Solution
x = {0.02777777778, 16}