x^2+50x+600=936

Solution for x^2+50x+600=936 equation:

Simplifying
x2 + 50x + 600 = 936

Reorder the terms:
600 + 50x + x2 = 936

Solving
600 + 50x + x2 = 936

Solving for variable 'x'.

Reorder the terms:
600 + -936 + 50x + x2 = 936 + -936

Combine like terms: 600 + -936 = -336
-336 + 50x + x2 = 936 + -936

Combine like terms: 936 + -936 = 0
-336 + 50x + x2 = 0

Factor a trinomial.
(-56 + -1x)(6 + -1x) = 0

Subproblem 1
Set the factor '(-56 + -1x)' equal to zero and attempt to solve:

Simplifying
-56 + -1x = 0

Solving
-56 + -1x = 0

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

Add '56' to each side of the equation.
-56 + 56 + -1x = 0 + 56

Combine like terms: -56 + 56 = 0
0 + -1x = 0 + 56
-1x = 0 + 56

Combine like terms: 0 + 56 = 56
-1x = 56

Divide each side by '-1'.
x = -56

Simplifying
x = -56
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-56, 6}