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

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


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

Reorder the terms for easier multiplication:
S = 20x + -2x2 + 20x + -2x2 + 40x + -2x2 + 40x + -2x2 + 40x

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

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

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

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

Combine like terms: 120x + 40x = 160x
S = 160x + -2x2 + -2x2 + -2x2 + -2x2

Combine like terms: -2x2 + -2x2 = -4x2
S = 160x + -4x2 + -2x2 + -2x2

Combine like terms: -4x2 + -2x2 = -6x2
S = 160x + -6x2 + -2x2

Combine like terms: -6x2 + -2x2 = -8x2
S = 160x + -8x2

Solving
S = 160x + -8x2

Solving for variable 'S'.

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

Simplifying
S = 160x + -8x2

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