27x^2-53x+26=0

Solution for 27x^2-53x+26=0 equation:

Simplifying
27x2 + -53x + 26 = 0

Reorder the terms:
26 + -53x + 27x2 = 0

Solving
26 + -53x + 27x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(26 + -27x)(1 + -1x) = 0

Subproblem 1
Set the factor '(26 + -27x)' equal to zero and attempt to solve:

Simplifying
26 + -27x = 0

Solving
26 + -27x = 0

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

Add '-26' to each side of the equation.
26 + -26 + -27x = 0 + -26

Combine like terms: 26 + -26 = 0
0 + -27x = 0 + -26
-27x = 0 + -26

Combine like terms: 0 + -26 = -26
-27x = -26

Divide each side by '-27'.
x = 0.962962963

Simplifying
x = 0.962962963
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1
Solution
x = {0.962962963, 1}