(x+4)(x+4)=49

Solution for (x+4)(x+4)=49 equation:

Simplifying
(x + 4)(x + 4) = 49

Reorder the terms:
(4 + x)(x + 4) = 49

Reorder the terms:
(4 + x)(4 + x) = 49

Multiply (4 + x) * (4 + x)
(4(4 + x) + x(4 + x)) = 49
((4 * 4 + x * 4) + x(4 + x)) = 49
((16 + 4x) + x(4 + x)) = 49
(16 + 4x + (4 * x + x * x)) = 49
(16 + 4x + (4x + x2)) = 49

Combine like terms: 4x + 4x = 8x
(16 + 8x + x2) = 49

Solving
16 + 8x + x2 = 49

Solving for variable 'x'.

Reorder the terms:
16 + -49 + 8x + x2 = 49 + -49

Combine like terms: 16 + -49 = -33
-33 + 8x + x2 = 49 + -49

Combine like terms: 49 + -49 = 0
-33 + 8x + x2 = 0

Factor a trinomial.
(-11 + -1x)(3 + -1x) = 0

Subproblem 1
Set the factor '(-11 + -1x)' equal to zero and attempt to solve:

Simplifying
-11 + -1x = 0

Solving
-11 + -1x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1x = 0 + 11
-1x = 0 + 11

Combine like terms: 0 + 11 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-11, 3}