X^2+10X+25=X+7

Solution for X^2+10X+25=X+7 equation:

Simplifying
X2 + 10X + 25 = X + 7

Reorder the terms:
25 + 10X + X2 = X + 7

Reorder the terms:
25 + 10X + X2 = 7 + X

Solving
25 + 10X + X2 = 7 + X

Solving for variable 'X'.

Reorder the terms:
25 + -7 + 10X + -1X + X2 = 7 + X + -7 + -1X

Combine like terms: 25 + -7 = 18
18 + 10X + -1X + X2 = 7 + X + -7 + -1X

Combine like terms: 10X + -1X = 9X
18 + 9X + X2 = 7 + X + -7 + -1X

Reorder the terms:
18 + 9X + X2 = 7 + -7 + X + -1X

Combine like terms: 7 + -7 = 0
18 + 9X + X2 = 0 + X + -1X
18 + 9X + X2 = X + -1X

Combine like terms: X + -1X = 0
18 + 9X + X2 = 0

Factor a trinomial.
(6 + X)(3 + X) = 0

Subproblem 1
Set the factor '(6 + X)' equal to zero and attempt to solve:

Simplifying
6 + X = 0

Solving
6 + X = 0

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

Add '-6' to each side of the equation.
6 + -6 + X = 0 + -6

Combine like terms: 6 + -6 = 0
0 + X = 0 + -6
X = 0 + -6

Combine like terms: 0 + -6 = -6
X = -6

Simplifying
X = -6
Subproblem 2
Set the factor '(3 + X)' equal to zero and attempt to solve:

Simplifying
3 + X = 0

Solving
3 + X = 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 + X = 0 + -3

Combine like terms: 3 + -3 = 0
0 + X = 0 + -3
X = 0 + -3

Combine like terms: 0 + -3 = -3
X = -3

Simplifying
X = -3
Solution
X = {-6, -3}