(x+6)(x+6)=49

Solution for (x+6)(x+6)=49 equation:

Simplifying
(x + 6)(x + 6) = 49

Reorder the terms:
(6 + x)(x + 6) = 49

Reorder the terms:
(6 + x)(6 + x) = 49

Multiply (6 + x) * (6 + x)
(6(6 + x) + x(6 + x)) = 49
((6 * 6 + x * 6) + x(6 + x)) = 49
((36 + 6x) + x(6 + x)) = 49
(36 + 6x + (6 * x + x * x)) = 49
(36 + 6x + (6x + x2)) = 49

Combine like terms: 6x + 6x = 12x
(36 + 12x + x2) = 49

Solving
36 + 12x + x2 = 49

Solving for variable 'x'.

Reorder the terms:
36 + -49 + 12x + x2 = 49 + -49

Combine like terms: 36 + -49 = -13
-13 + 12x + x2 = 49 + -49

Combine like terms: 49 + -49 = 0
-13 + 12x + x2 = 0

Factor a trinomial.
(-13 + -1x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-13 + -1x)' equal to zero and attempt to solve:

Simplifying
-13 + -1x = 0

Solving
-13 + -1x = 0

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

Add '13' to each side of the equation.
-13 + 13 + -1x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -1x = 0 + 13
-1x = 0 + 13

Combine like terms: 0 + 13 = 13
-1x = 13

Divide each side by '-1'.
x = -13

Simplifying
x = -13
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 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 + -1x = 0 + -1

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

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

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

Simplifying
x = 1
Solution
x = {-13, 1}