x^2+20x+100=49

Solution for x^2+20x+100=49 equation:

Simplifying
x2 + 20x + 100 = 49

Reorder the terms:
100 + 20x + x2 = 49

Solving
100 + 20x + x2 = 49

Solving for variable 'x'.

Reorder the terms:
100 + -49 + 20x + x2 = 49 + -49

Combine like terms: 100 + -49 = 51
51 + 20x + x2 = 49 + -49

Combine like terms: 49 + -49 = 0
51 + 20x + x2 = 0

Factor a trinomial.
(17 + x)(3 + x) = 0

Subproblem 1
Set the factor '(17 + x)' equal to zero and attempt to solve:

Simplifying
17 + x = 0

Solving
17 + x = 0

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

Add '-17' to each side of the equation.
17 + -17 + x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + x = 0 + -17
x = 0 + -17

Combine like terms: 0 + -17 = -17
x = -17

Simplifying
x = -17
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {-17, -3}