(x+5)(x+5)=49

Solution for (x+5)(x+5)=49 equation:

Simplifying
(x + 5)(x + 5) = 49

Reorder the terms:
(5 + x)(x + 5) = 49

Reorder the terms:
(5 + x)(5 + x) = 49

Multiply (5 + x) * (5 + x)
(5(5 + x) + x(5 + x)) = 49
((5 * 5 + x * 5) + x(5 + x)) = 49
((25 + 5x) + x(5 + x)) = 49
(25 + 5x + (5 * x + x * x)) = 49
(25 + 5x + (5x + x2)) = 49

Combine like terms: 5x + 5x = 10x
(25 + 10x + x2) = 49

Solving
25 + 10x + x2 = 49

Solving for variable 'x'.

Reorder the terms:
25 + -49 + 10x + x2 = 49 + -49

Combine like terms: 25 + -49 = -24
-24 + 10x + x2 = 49 + -49

Combine like terms: 49 + -49 = 0
-24 + 10x + x2 = 0

Factor a trinomial.
(-12 + -1x)(2 + -1x) = 0

Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve:

Simplifying
-12 + -1x = 0

Solving
-12 + -1x = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = 0 + 12
-1x = 0 + 12

Combine like terms: 0 + 12 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-12, 2}