2x^2-49x+47=0

Solution for 2x^2-49x+47=0 equation:

Simplifying
2x2 + -49x + 47 = 0

Reorder the terms:
47 + -49x + 2x2 = 0

Solving
47 + -49x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -1x)(47 + -2x) = 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 '(47 + -2x)' equal to zero and attempt to solve:

Simplifying
47 + -2x = 0

Solving
47 + -2x = 0

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

Add '-47' to each side of the equation.
47 + -47 + -2x = 0 + -47

Combine like terms: 47 + -47 = 0
0 + -2x = 0 + -47
-2x = 0 + -47

Combine like terms: 0 + -47 = -47
-2x = -47

Divide each side by '-2'.
x = 23.5

Simplifying
x = 23.5
Solution
x = {1, 23.5}