2x^2-25x+50=4158

Solution for 2x^2-25x+50=4158 equation:

Simplifying
2x2 + -25x + 50 = 4158

Reorder the terms:
50 + -25x + 2x2 = 4158

Solving
50 + -25x + 2x2 = 4158

Solving for variable 'x'.

Reorder the terms:
50 + -4158 + -25x + 2x2 = 4158 + -4158

Combine like terms: 50 + -4158 = -4108
-4108 + -25x + 2x2 = 4158 + -4158

Combine like terms: 4158 + -4158 = 0
-4108 + -25x + 2x2 = 0

Factor a trinomial.
(-79 + -2x)(52 + -1x) = 0

Subproblem 1
Set the factor '(-79 + -2x)' equal to zero and attempt to solve:

Simplifying
-79 + -2x = 0

Solving
-79 + -2x = 0

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

Add '79' to each side of the equation.
-79 + 79 + -2x = 0 + 79

Combine like terms: -79 + 79 = 0
0 + -2x = 0 + 79
-2x = 0 + 79

Combine like terms: 0 + 79 = 79
-2x = 79

Divide each side by '-2'.
x = -39.5

Simplifying
x = -39.5
Subproblem 2
Set the factor '(52 + -1x)' equal to zero and attempt to solve:

Simplifying
52 + -1x = 0

Solving
52 + -1x = 0

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

Add '-52' to each side of the equation.
52 + -52 + -1x = 0 + -52

Combine like terms: 52 + -52 = 0
0 + -1x = 0 + -52
-1x = 0 + -52

Combine like terms: 0 + -52 = -52
-1x = -52

Divide each side by '-1'.
x = 52

Simplifying
x = 52
Solution
x = {-39.5, 52}