x^2+28x+196=64

Solution for x^2+28x+196=64 equation:

Simplifying
x2 + 28x + 196 = 64

Reorder the terms:
196 + 28x + x2 = 64

Solving
196 + 28x + x2 = 64

Solving for variable 'x'.

Reorder the terms:
196 + -64 + 28x + x2 = 64 + -64

Combine like terms: 196 + -64 = 132
132 + 28x + x2 = 64 + -64

Combine like terms: 64 + -64 = 0
132 + 28x + x2 = 0

Factor a trinomial.
(22 + x)(6 + x) = 0

Subproblem 1
Set the factor '(22 + x)' equal to zero and attempt to solve:

Simplifying
22 + x = 0

Solving
22 + x = 0

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

Add '-22' to each side of the equation.
22 + -22 + x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + x = 0 + -22
x = 0 + -22

Combine like terms: 0 + -22 = -22
x = -22

Simplifying
x = -22
Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Solution
x = {-22, -6}