S=x(20-2x)+x(20-2x)+x(40-2x)+(40-2x)(20-2x)

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Solution for S=x(20-2x)+x(20-2x)+x(40-2x)+(40-2x)(20-2x) equation: 


Simplifying
S = x(20 + -2x) + x(20 + -2x) + x(40 + -2x) + (40 + -2x)(20 + -2x)
S = (20 * x + -2x * x) + x(20 + -2x) + x(40 + -2x) + (40 + -2x)(20 + -2x)
S = (20x + -2x2) + x(20 + -2x) + x(40 + -2x) + (40 + -2x)(20 + -2x)
S = 20x + -2x2 + (20 * x + -2x * x) + x(40 + -2x) + (40 + -2x)(20 + -2x)
S = 20x + -2x2 + (20x + -2x2) + x(40 + -2x) + (40 + -2x)(20 + -2x)
S = 20x + -2x2 + 20x + -2x2 + (40 * x + -2x * x) + (40 + -2x)(20 + -2x)
S = 20x + -2x2 + 20x + -2x2 + (40x + -2x2) + (40 + -2x)(20 + -2x)

Multiply (40 + -2x) * (20 + -2x)
S = 20x + -2x2 + 20x + -2x2 + 40x + -2x2 + (40(20 + -2x) + -2x * (20 + -2x))
S = 20x + -2x2 + 20x + -2x2 + 40x + -2x2 + ((20 * 40 + -2x * 40) + -2x * (20 + -2x))
S = 20x + -2x2 + 20x + -2x2 + 40x + -2x2 + ((800 + -80x) + -2x * (20 + -2x))
S = 20x + -2x2 + 20x + -2x2 + 40x + -2x2 + (800 + -80x + (20 * -2x + -2x * -2x))
S = 20x + -2x2 + 20x + -2x2 + 40x + -2x2 + (800 + -80x + (-40x + 4x2))

Combine like terms: -80x + -40x = -120x
S = 20x + -2x2 + 20x + -2x2 + 40x + -2x2 + (800 + -120x + 4x2)

Reorder the terms:
S = 800 + 20x + 20x + 40x + -120x + -2x2 + -2x2 + -2x2 + 4x2

Combine like terms: 20x + 20x = 40x
S = 800 + 40x + 40x + -120x + -2x2 + -2x2 + -2x2 + 4x2

Combine like terms: 40x + 40x = 80x
S = 800 + 80x + -120x + -2x2 + -2x2 + -2x2 + 4x2

Combine like terms: 80x + -120x = -40x
S = 800 + -40x + -2x2 + -2x2 + -2x2 + 4x2

Combine like terms: -2x2 + -2x2 = -4x2
S = 800 + -40x + -4x2 + -2x2 + 4x2

Combine like terms: -4x2 + -2x2 = -6x2
S = 800 + -40x + -6x2 + 4x2

Combine like terms: -6x2 + 4x2 = -2x2
S = 800 + -40x + -2x2

Solving
S = 800 + -40x + -2x2

Solving for variable 'S'.

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

Simplifying
S = 800 + -40x + -2x2

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