(20-x)(40-x)=525

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Solution for (20-x)(40-x)=525 equation: 


Simplifying
(20 + -1x)(40 + -1x) = 525

Multiply (20 + -1x) * (40 + -1x)
(20(40 + -1x) + -1x * (40 + -1x)) = 525
((40 * 20 + -1x * 20) + -1x * (40 + -1x)) = 525
((800 + -20x) + -1x * (40 + -1x)) = 525
(800 + -20x + (40 * -1x + -1x * -1x)) = 525
(800 + -20x + (-40x + 1x2)) = 525

Combine like terms: -20x + -40x = -60x
(800 + -60x + 1x2) = 525

Solving
800 + -60x + 1x2 = 525

Solving for variable 'x'.

Reorder the terms:
800 + -525 + -60x + 1x2 = 525 + -525

Combine like terms: 800 + -525 = 275
275 + -60x + 1x2 = 525 + -525

Combine like terms: 525 + -525 = 0
275 + -60x + 1x2 = 0

Factor a trinomial.
(5 + -1x)(55 + -1x) = 0


Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

Subproblem 2
Set the factor '(55 + -1x)' equal to zero and attempt to solve:

Simplifying
55 + -1x = 0

Solving
55 + -1x = 0

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

Add '-55' to each side of the equation.
55 + -55 + -1x = 0 + -55

Combine like terms: 55 + -55 = 0
0 + -1x = 0 + -55
-1x = 0 + -55

Combine like terms: 0 + -55 = -55
-1x = -55

Divide each side by '-1'.
x = 55

Simplifying
x = 55
Solution
x = {5, 55}

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