x^2+14x+49=196

Solution for x^2+14x+49=196 equation:

Simplifying
x2 + 14x + 49 = 196

Reorder the terms:
49 + 14x + x2 = 196

Solving
49 + 14x + x2 = 196

Solving for variable 'x'.

Reorder the terms:
49 + -196 + 14x + x2 = 196 + -196

Combine like terms: 49 + -196 = -147
-147 + 14x + x2 = 196 + -196

Combine like terms: 196 + -196 = 0
-147 + 14x + x2 = 0

Factor a trinomial.
(-21 + -1x)(7 + -1x) = 0

Subproblem 1
Set the factor '(-21 + -1x)' equal to zero and attempt to solve:

Simplifying
-21 + -1x = 0

Solving
-21 + -1x = 0

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

Add '21' to each side of the equation.
-21 + 21 + -1x = 0 + 21

Combine like terms: -21 + 21 = 0
0 + -1x = 0 + 21
-1x = 0 + 21

Combine like terms: 0 + 21 = 21
-1x = 21

Divide each side by '-1'.
x = -21

Simplifying
x = -21
Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-21, 7}