x^2+50x+49=0

Solution for x^2+50x+49=0 equation:

Simplifying
x2 + 50x + 49 = 0

Reorder the terms:
49 + 50x + x2 = 0

Solving
49 + 50x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(49 + x)(1 + x) = 0

Subproblem 1
Set the factor '(49 + x)' equal to zero and attempt to solve:

Simplifying
49 + x = 0

Solving
49 + x = 0

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

Add '-49' to each side of the equation.
49 + -49 + x = 0 + -49

Combine like terms: 49 + -49 = 0
0 + x = 0 + -49
x = 0 + -49

Combine like terms: 0 + -49 = -49
x = -49

Simplifying
x = -49
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

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

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

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

Simplifying
x = -1
Solution
x = {-49, -1}