x^2+200x+10000=484

Solution for x^2+200x+10000=484 equation:

Simplifying
x2 + 200x + 10000 = 484

Reorder the terms:
10000 + 200x + x2 = 484

Solving
10000 + 200x + x2 = 484

Solving for variable 'x'.

Reorder the terms:
10000 + -484 + 200x + x2 = 484 + -484

Combine like terms: 10000 + -484 = 9516
9516 + 200x + x2 = 484 + -484

Combine like terms: 484 + -484 = 0
9516 + 200x + x2 = 0

Factor a trinomial.
(122 + x)(78 + x) = 0

Subproblem 1
Set the factor '(122 + x)' equal to zero and attempt to solve:

Simplifying
122 + x = 0

Solving
122 + x = 0

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

Add '-122' to each side of the equation.
122 + -122 + x = 0 + -122

Combine like terms: 122 + -122 = 0
0 + x = 0 + -122
x = 0 + -122

Combine like terms: 0 + -122 = -122
x = -122

Simplifying
x = -122
Subproblem 2
Set the factor '(78 + x)' equal to zero and attempt to solve:

Simplifying
78 + x = 0

Solving
78 + x = 0

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

Add '-78' to each side of the equation.
78 + -78 + x = 0 + -78

Combine like terms: 78 + -78 = 0
0 + x = 0 + -78
x = 0 + -78

Combine like terms: 0 + -78 = -78
x = -78

Simplifying
x = -78
Solution
x = {-122, -78}