x^2+7x+10=(x+5)

Solution for x^2+7x+10=(x+5) equation:

Simplifying
x2 + 7x + 10 = (x + 5)

Reorder the terms:
10 + 7x + x2 = (x + 5)

Reorder the terms:
10 + 7x + x2 = (5 + x)

Remove parenthesis around (5 + x)
10 + 7x + x2 = 5 + x

Solving
10 + 7x + x2 = 5 + x

Solving for variable 'x'.

Reorder the terms:
10 + -5 + 7x + -1x + x2 = 5 + x + -5 + -1x

Combine like terms: 10 + -5 = 5
5 + 7x + -1x + x2 = 5 + x + -5 + -1x

Combine like terms: 7x + -1x = 6x
5 + 6x + x2 = 5 + x + -5 + -1x

Reorder the terms:
5 + 6x + x2 = 5 + -5 + x + -1x

Combine like terms: 5 + -5 = 0
5 + 6x + x2 = 0 + x + -1x
5 + 6x + x2 = x + -1x

Combine like terms: x + -1x = 0
5 + 6x + x2 = 0

Factor a trinomial.
(5 + x)(1 + 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 '(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 = {-5, -1}