x^2+28x+196=45369

Solution for x^2+28x+196=45369 equation:

Simplifying
x2 + 28x + 196 = 45369

Reorder the terms:
196 + 28x + x2 = 45369

Solving
196 + 28x + x2 = 45369

Solving for variable 'x'.

Reorder the terms:
196 + -45369 + 28x + x2 = 45369 + -45369

Combine like terms: 196 + -45369 = -45173
-45173 + 28x + x2 = 45369 + -45369

Combine like terms: 45369 + -45369 = 0
-45173 + 28x + x2 = 0

Factor a trinomial.
(-227 + -1x)(199 + -1x) = 0

Subproblem 1
Set the factor '(-227 + -1x)' equal to zero and attempt to solve:

Simplifying
-227 + -1x = 0

Solving
-227 + -1x = 0

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

Add '227' to each side of the equation.
-227 + 227 + -1x = 0 + 227

Combine like terms: -227 + 227 = 0
0 + -1x = 0 + 227
-1x = 0 + 227

Combine like terms: 0 + 227 = 227
-1x = 227

Divide each side by '-1'.
x = -227

Simplifying
x = -227
Subproblem 2
Set the factor '(199 + -1x)' equal to zero and attempt to solve:

Simplifying
199 + -1x = 0

Solving
199 + -1x = 0

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

Add '-199' to each side of the equation.
199 + -199 + -1x = 0 + -199

Combine like terms: 199 + -199 = 0
0 + -1x = 0 + -199
-1x = 0 + -199

Combine like terms: 0 + -199 = -199
-1x = -199

Divide each side by '-1'.
x = 199

Simplifying
x = 199
Solution
x = {-227, 199}