5x^2-38x+33=0

Solution for 5x^2-38x+33=0 equation:

Simplifying
5x2 + -38x + 33 = 0

Reorder the terms:
33 + -38x + 5x2 = 0

Solving
33 + -38x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -1x)(33 + -5x) = 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 '(33 + -5x)' equal to zero and attempt to solve:

Simplifying
33 + -5x = 0

Solving
33 + -5x = 0

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

Add '-33' to each side of the equation.
33 + -33 + -5x = 0 + -33

Combine like terms: 33 + -33 = 0
0 + -5x = 0 + -33
-5x = 0 + -33

Combine like terms: 0 + -33 = -33
-5x = -33

Divide each side by '-5'.
x = 6.6

Simplifying
x = 6.6
Solution
x = {1, 6.6}