x^2+8x+25=-3x-3

Solution for x^2+8x+25=-3x-3 equation:

Simplifying
x2 + 8x + 25 = -3x + -3

Reorder the terms:
25 + 8x + x2 = -3x + -3

Reorder the terms:
25 + 8x + x2 = -3 + -3x

Solving
25 + 8x + x2 = -3 + -3x

Solving for variable 'x'.

Reorder the terms:
25 + 3 + 8x + 3x + x2 = -3 + -3x + 3 + 3x

Combine like terms: 25 + 3 = 28
28 + 8x + 3x + x2 = -3 + -3x + 3 + 3x

Combine like terms: 8x + 3x = 11x
28 + 11x + x2 = -3 + -3x + 3 + 3x

Reorder the terms:
28 + 11x + x2 = -3 + 3 + -3x + 3x

Combine like terms: -3 + 3 = 0
28 + 11x + x2 = 0 + -3x + 3x
28 + 11x + x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
28 + 11x + x2 = 0

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

Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7
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 = {-7, -4}