27x^2-41x+14=0

Solution for 27x^2-41x+14=0 equation:

Simplifying
27x2 + -41x + 14 = 0

Reorder the terms:
14 + -41x + 27x2 = 0

Solving
14 + -41x + 27x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(14 + -27x)(1 + -1x) = 0

Subproblem 1
Set the factor '(14 + -27x)' equal to zero and attempt to solve:

Simplifying
14 + -27x = 0

Solving
14 + -27x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -27x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -27x = 0 + -14
-27x = 0 + -14

Combine like terms: 0 + -14 = -14
-27x = -14

Divide each side by '-27'.
x = 0.5185185185

Simplifying
x = 0.5185185185
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 = {0.5185185185, 1}