(x+8)(x-4)=-35

Solution for (x+8)(x-4)=-35 equation:

Simplifying
(x + 8)(x + -4) = -35

Reorder the terms:
(8 + x)(x + -4) = -35

Reorder the terms:
(8 + x)(-4 + x) = -35

Multiply (8 + x) * (-4 + x)
(8(-4 + x) + x(-4 + x)) = -35
((-4 * 8 + x * 8) + x(-4 + x)) = -35
((-32 + 8x) + x(-4 + x)) = -35
(-32 + 8x + (-4 * x + x * x)) = -35
(-32 + 8x + (-4x + x2)) = -35

Combine like terms: 8x + -4x = 4x
(-32 + 4x + x2) = -35

Solving
-32 + 4x + x2 = -35

Solving for variable 'x'.

Reorder the terms:
-32 + 35 + 4x + x2 = -35 + 35

Combine like terms: -32 + 35 = 3
3 + 4x + x2 = -35 + 35

Combine like terms: -35 + 35 = 0
3 + 4x + x2 = 0

Factor a trinomial.
(3 + x)(1 + x) = 0

Subproblem 1
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
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 = {-3, -1}