x^2+10x+25=(x+5)

Solution for x^2+10x+25=(x+5) equation:

Simplifying
x2 + 10x + 25 = (x + 5)

Reorder the terms:
25 + 10x + x2 = (x + 5)

Reorder the terms:
25 + 10x + x2 = (5 + x)

Remove parenthesis around (5 + x)
25 + 10x + x2 = 5 + x

Solving
25 + 10x + x2 = 5 + x

Solving for variable 'x'.

Reorder the terms:
25 + -5 + 10x + -1x + x2 = 5 + x + -5 + -1x

Combine like terms: 25 + -5 = 20
20 + 10x + -1x + x2 = 5 + x + -5 + -1x

Combine like terms: 10x + -1x = 9x
20 + 9x + x2 = 5 + x + -5 + -1x

Reorder the terms:
20 + 9x + x2 = 5 + -5 + x + -1x

Combine like terms: 5 + -5 = 0
20 + 9x + x2 = 0 + x + -1x
20 + 9x + x2 = x + -1x

Combine like terms: x + -1x = 0
20 + 9x + x2 = 0

Factor a trinomial.
(5 + x)(4 + x) = 0

Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5
Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {-5, -4}