936=(20+x)(30+x)

Solution for 936=(20+x)(30+x) equation:

Simplifying
936 = (20 + x)(30 + x)

Multiply (20 + x) * (30 + x)
936 = (20(30 + x) + x(30 + x))
936 = ((30 * 20 + x * 20) + x(30 + x))
936 = ((600 + 20x) + x(30 + x))
936 = (600 + 20x + (30 * x + x * x))
936 = (600 + 20x + (30x + x2))

Combine like terms: 20x + 30x = 50x
936 = (600 + 50x + x2)

Solving
936 = 600 + 50x + x2

Solving for variable 'x'.

Combine like terms: 936 + -600 = 336
336 + -50x + -1x2 = 600 + 50x + x2 + -600 + -50x + -1x2

Reorder the terms:
336 + -50x + -1x2 = 600 + -600 + 50x + -50x + x2 + -1x2

Combine like terms: 600 + -600 = 0
336 + -50x + -1x2 = 0 + 50x + -50x + x2 + -1x2
336 + -50x + -1x2 = 50x + -50x + x2 + -1x2

Combine like terms: 50x + -50x = 0
336 + -50x + -1x2 = 0 + x2 + -1x2
336 + -50x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
336 + -50x + -1x2 = 0

Factor a trinomial.
(6 + -1x)(56 + x) = 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 '(56 + x)' equal to zero and attempt to solve:

Simplifying
56 + x = 0

Solving
56 + x = 0

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

Add '-56' to each side of the equation.
56 + -56 + x = 0 + -56

Combine like terms: 56 + -56 = 0
0 + x = 0 + -56
x = 0 + -56

Combine like terms: 0 + -56 = -56
x = -56

Simplifying
x = -56
Solution
x = {6, -56}