20x^2-47x+27=0

Solution for 20x^2-47x+27=0 equation:

Simplifying
20x2 + -47x + 27 = 0

Reorder the terms:
27 + -47x + 20x2 = 0

Solving
27 + -47x + 20x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -1x)(27 + -20x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(27 + -20x)' equal to zero and attempt to solve:

Simplifying
27 + -20x = 0

Solving
27 + -20x = 0

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

Add '-27' to each side of the equation.
27 + -27 + -20x = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -20x = 0 + -27
-20x = 0 + -27

Combine like terms: 0 + -27 = -27
-20x = -27

Divide each side by '-20'.
x = 1.35

Simplifying
x = 1.35
Solution
x = {1, 1.35}