5x^2-44x+95=0

Solution for 5x^2-44x+95=0 equation:

Simplifying
5x2 + -44x + 95 = 0

Reorder the terms:
95 + -44x + 5x2 = 0

Solving
95 + -44x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(19 + -5x)(5 + -1x) = 0

Subproblem 1
Set the factor '(19 + -5x)' equal to zero and attempt to solve:

Simplifying
19 + -5x = 0

Solving
19 + -5x = 0

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

Add '-19' to each side of the equation.
19 + -19 + -5x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -5x = 0 + -19
-5x = 0 + -19

Combine like terms: 0 + -19 = -19
-5x = -19

Divide each side by '-5'.
x = 3.8

Simplifying
x = 3.8
Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {3.8, 5}