(16+x)(12+x)=525

Solution for (16+x)(12+x)=525 equation:

Simplifying
(16 + x)(12 + x) = 525

Multiply (16 + x) * (12 + x)
(16(12 + x) + x(12 + x)) = 525
((12 * 16 + x * 16) + x(12 + x)) = 525
((192 + 16x) + x(12 + x)) = 525
(192 + 16x + (12 * x + x * x)) = 525
(192 + 16x + (12x + x2)) = 525

Combine like terms: 16x + 12x = 28x
(192 + 28x + x2) = 525

Solving
192 + 28x + x2 = 525

Solving for variable 'x'.

Reorder the terms:
192 + -525 + 28x + x2 = 525 + -525

Combine like terms: 192 + -525 = -333
-333 + 28x + x2 = 525 + -525

Combine like terms: 525 + -525 = 0
-333 + 28x + x2 = 0

Factor a trinomial.
(-37 + -1x)(9 + -1x) = 0

Subproblem 1
Set the factor '(-37 + -1x)' equal to zero and attempt to solve:

Simplifying
-37 + -1x = 0

Solving
-37 + -1x = 0

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

Add '37' to each side of the equation.
-37 + 37 + -1x = 0 + 37

Combine like terms: -37 + 37 = 0
0 + -1x = 0 + 37
-1x = 0 + 37

Combine like terms: 0 + 37 = 37
-1x = 37

Divide each side by '-1'.
x = -37

Simplifying
x = -37
Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {-37, 9}