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

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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.
(-10 + -1x)(6 + -1x) = 0


Subproblem 1
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

Subproblem 2
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
Solution
x = {-10, 6}

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