(x+4)(x-8)=28

Solution for (x+4)(x-8)=28 equation:

Simplifying
(x + 4)(x + -8) = 28

Reorder the terms:
(4 + x)(x + -8) = 28

Reorder the terms:
(4 + x)(-8 + x) = 28

Multiply (4 + x) * (-8 + x)
(4(-8 + x) + x(-8 + x)) = 28
((-8 * 4 + x * 4) + x(-8 + x)) = 28
((-32 + 4x) + x(-8 + x)) = 28
(-32 + 4x + (-8 * x + x * x)) = 28
(-32 + 4x + (-8x + x2)) = 28

Combine like terms: 4x + -8x = -4x
(-32 + -4x + x2) = 28

Solving
-32 + -4x + x2 = 28

Solving for variable 'x'.

Reorder the terms:
-32 + -28 + -4x + x2 = 28 + -28

Combine like terms: -32 + -28 = -60
-60 + -4x + x2 = 28 + -28

Combine like terms: 28 + -28 = 0
-60 + -4x + x2 = 0

Factor a trinomial.
(-6 + -1x)(10 + -1x) = 0

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

Simplifying
-6 + -1x = 0

Solving
-6 + -1x = 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 + -1x = 0 + 6

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

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

Divide each side by '-1'.
x = -6

Simplifying
x = -6
Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-6, 10}