(x+8)(x+8)=49

Solution for (x+8)(x+8)=49 equation:

Simplifying
(x + 8)(x + 8) = 49

Reorder the terms:
(8 + x)(x + 8) = 49

Reorder the terms:
(8 + x)(8 + x) = 49

Multiply (8 + x) * (8 + x)
(8(8 + x) + x(8 + x)) = 49
((8 * 8 + x * 8) + x(8 + x)) = 49
((64 + 8x) + x(8 + x)) = 49
(64 + 8x + (8 * x + x * x)) = 49
(64 + 8x + (8x + x2)) = 49

Combine like terms: 8x + 8x = 16x
(64 + 16x + x2) = 49

Solving
64 + 16x + x2 = 49

Solving for variable 'x'.

Reorder the terms:
64 + -49 + 16x + x2 = 49 + -49

Combine like terms: 64 + -49 = 15
15 + 16x + x2 = 49 + -49

Combine like terms: 49 + -49 = 0
15 + 16x + x2 = 0

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

Subproblem 1
Set the factor '(15 + x)' equal to zero and attempt to solve:

Simplifying
15 + x = 0

Solving
15 + x = 0

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

Add '-15' to each side of the equation.
15 + -15 + x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + x = 0 + -15
x = 0 + -15

Combine like terms: 0 + -15 = -15
x = -15

Simplifying
x = -15
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 = {-15, -1}