x^2+8x+40=-7x+4

Solution for x^2+8x+40=-7x+4 equation:

Simplifying
x2 + 8x + 40 = -7x + 4

Reorder the terms:
40 + 8x + x2 = -7x + 4

Reorder the terms:
40 + 8x + x2 = 4 + -7x

Solving
40 + 8x + x2 = 4 + -7x

Solving for variable 'x'.

Reorder the terms:
40 + -4 + 8x + 7x + x2 = 4 + -7x + -4 + 7x

Combine like terms: 40 + -4 = 36
36 + 8x + 7x + x2 = 4 + -7x + -4 + 7x

Combine like terms: 8x + 7x = 15x
36 + 15x + x2 = 4 + -7x + -4 + 7x

Reorder the terms:
36 + 15x + x2 = 4 + -4 + -7x + 7x

Combine like terms: 4 + -4 = 0
36 + 15x + x2 = 0 + -7x + 7x
36 + 15x + x2 = -7x + 7x

Combine like terms: -7x + 7x = 0
36 + 15x + x2 = 0

Factor a trinomial.
(12 + x)(3 + x) = 0

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

Simplifying
12 + x = 0

Solving
12 + x = 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 + x = 0 + -12

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

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

Simplifying
x = -12
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 = {-12, -3}