(x+72)(x+48)=6912

Solution for (x+72)(x+48)=6912 equation:

Simplifying
(x + 72)(x + 48) = 6912

Reorder the terms:
(72 + x)(x + 48) = 6912

Reorder the terms:
(72 + x)(48 + x) = 6912

Multiply (72 + x) * (48 + x)
(72(48 + x) + x(48 + x)) = 6912
((48 * 72 + x * 72) + x(48 + x)) = 6912
((3456 + 72x) + x(48 + x)) = 6912
(3456 + 72x + (48 * x + x * x)) = 6912
(3456 + 72x + (48x + x2)) = 6912

Combine like terms: 72x + 48x = 120x
(3456 + 120x + x2) = 6912

Solving
3456 + 120x + x2 = 6912

Solving for variable 'x'.

Reorder the terms:
3456 + -6912 + 120x + x2 = 6912 + -6912

Combine like terms: 3456 + -6912 = -3456
-3456 + 120x + x2 = 6912 + -6912

Combine like terms: 6912 + -6912 = 0
-3456 + 120x + x2 = 0

Factor a trinomial.
(-144 + -1x)(24 + -1x) = 0

Subproblem 1
Set the factor '(-144 + -1x)' equal to zero and attempt to solve:

Simplifying
-144 + -1x = 0

Solving
-144 + -1x = 0

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

Add '144' to each side of the equation.
-144 + 144 + -1x = 0 + 144

Combine like terms: -144 + 144 = 0
0 + -1x = 0 + 144
-1x = 0 + 144

Combine like terms: 0 + 144 = 144
-1x = 144

Divide each side by '-1'.
x = -144

Simplifying
x = -144
Subproblem 2
Set the factor '(24 + -1x)' equal to zero and attempt to solve:

Simplifying
24 + -1x = 0

Solving
24 + -1x = 0

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

Add '-24' to each side of the equation.
24 + -24 + -1x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -1x = 0 + -24
-1x = 0 + -24

Combine like terms: 0 + -24 = -24
-1x = -24

Divide each side by '-1'.
x = 24

Simplifying
x = 24
Solution
x = {-144, 24}