2x^2-47x+123=0

Solution for 2x^2-47x+123=0 equation:

Simplifying
2x2 + -47x + 123 = 0

Reorder the terms:
123 + -47x + 2x2 = 0

Solving
123 + -47x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -1x)(41 + -2x) = 0

Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Subproblem 2
Set the factor '(41 + -2x)' equal to zero and attempt to solve:

Simplifying
41 + -2x = 0

Solving
41 + -2x = 0

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

Add '-41' to each side of the equation.
41 + -41 + -2x = 0 + -41

Combine like terms: 41 + -41 = 0
0 + -2x = 0 + -41
-2x = 0 + -41

Combine like terms: 0 + -41 = -41
-2x = -41

Divide each side by '-2'.
x = 20.5

Simplifying
x = 20.5
Solution
x = {3, 20.5}