20x^2-48x+27=0

Solution for 20x^2-48x+27=0 equation:

Simplifying
20x2 + -48x + 27 = 0

Reorder the terms:
27 + -48x + 20x2 = 0

Solving
27 + -48x + 20x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(9 + -10x)(3 + -2x) = 0

Subproblem 1
Set the factor '(9 + -10x)' equal to zero and attempt to solve:

Simplifying
9 + -10x = 0

Solving
9 + -10x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -10x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -10x = 0 + -9
-10x = 0 + -9

Combine like terms: 0 + -9 = -9
-10x = -9

Divide each side by '-10'.
x = 0.9

Simplifying
x = 0.9
Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {0.9, 1.5}