5x^2-48x+108=0

Solution for 5x^2-48x+108=0 equation:

Simplifying
5x2 + -48x + 108 = 0

Reorder the terms:
108 + -48x + 5x2 = 0

Solving
108 + -48x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(18 + -5x)(6 + -1x) = 0

Subproblem 1
Set the factor '(18 + -5x)' equal to zero and attempt to solve:

Simplifying
18 + -5x = 0

Solving
18 + -5x = 0

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

Add '-18' to each side of the equation.
18 + -18 + -5x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -5x = 0 + -18
-5x = 0 + -18

Combine like terms: 0 + -18 = -18
-5x = -18

Divide each side by '-5'.
x = 3.6

Simplifying
x = 3.6
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {3.6, 6}