x^2+50x=21279

Solution for x^2+50x=21279 equation:

Simplifying
x2 + 50x = 21279

Reorder the terms:
50x + x2 = 21279

Solving
50x + x2 = 21279

Solving for variable 'x'.

Reorder the terms:
-21279 + 50x + x2 = 21279 + -21279

Combine like terms: 21279 + -21279 = 0
-21279 + 50x + x2 = 0

Factor a trinomial.
(-173 + -1x)(123 + -1x) = 0

Subproblem 1
Set the factor '(-173 + -1x)' equal to zero and attempt to solve:

Simplifying
-173 + -1x = 0

Solving
-173 + -1x = 0

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

Add '173' to each side of the equation.
-173 + 173 + -1x = 0 + 173

Combine like terms: -173 + 173 = 0
0 + -1x = 0 + 173
-1x = 0 + 173

Combine like terms: 0 + 173 = 173
-1x = 173

Divide each side by '-1'.
x = -173

Simplifying
x = -173
Subproblem 2
Set the factor '(123 + -1x)' equal to zero and attempt to solve:

Simplifying
123 + -1x = 0

Solving
123 + -1x = 0

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

Add '-123' to each side of the equation.
123 + -123 + -1x = 0 + -123

Combine like terms: 123 + -123 = 0
0 + -1x = 0 + -123
-1x = 0 + -123

Combine like terms: 0 + -123 = -123
-1x = -123

Divide each side by '-1'.
x = 123

Simplifying
x = 123
Solution
x = {-173, 123}