(16+x)(24+x)=660

Solution for (16+x)(24+x)=660 equation:

Simplifying
(16 + x)(24 + x) = 660

Multiply (16 + x) * (24 + x)
(16(24 + x) + x(24 + x)) = 660
((24 * 16 + x * 16) + x(24 + x)) = 660
((384 + 16x) + x(24 + x)) = 660
(384 + 16x + (24 * x + x * x)) = 660
(384 + 16x + (24x + x2)) = 660

Combine like terms: 16x + 24x = 40x
(384 + 40x + x2) = 660

Solving
384 + 40x + x2 = 660

Solving for variable 'x'.

Reorder the terms:
384 + -660 + 40x + x2 = 660 + -660

Combine like terms: 384 + -660 = -276
-276 + 40x + x2 = 660 + -660

Combine like terms: 660 + -660 = 0
-276 + 40x + x2 = 0

Factor a trinomial.
(-46 + -1x)(6 + -1x) = 0

Subproblem 1
Set the factor '(-46 + -1x)' equal to zero and attempt to solve:

Simplifying
-46 + -1x = 0

Solving
-46 + -1x = 0

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

Add '46' to each side of the equation.
-46 + 46 + -1x = 0 + 46

Combine like terms: -46 + 46 = 0
0 + -1x = 0 + 46
-1x = 0 + 46

Combine like terms: 0 + 46 = 46
-1x = 46

Divide each side by '-1'.
x = -46

Simplifying
x = -46
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 = {-46, 6}