27x^2-32x+5=0

Solution for 27x^2-32x+5=0 equation:

Simplifying
27x2 + -32x + 5 = 0

Reorder the terms:
5 + -32x + 27x2 = 0

Solving
5 + -32x + 27x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + -27x)(1 + -1x) = 0

Subproblem 1
Set the factor '(5 + -27x)' equal to zero and attempt to solve:

Simplifying
5 + -27x = 0

Solving
5 + -27x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -27x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -27x = 0 + -5
-27x = 0 + -5

Combine like terms: 0 + -5 = -5
-27x = -5

Divide each side by '-27'.
x = 0.1851851852

Simplifying
x = 0.1851851852
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 = {0.1851851852, 1}