s=x(40-2x)+x(40-2x)+x(80-2x)+x(80-2x)+(40-2x)(80-2x)

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Solution for s=x(40-2x)+x(40-2x)+x(80-2x)+x(80-2x)+(40-2x)(80-2x) equation:


Simplifying
s = x(40 + -2x) + x(40 + -2x) + x(80 + -2x) + x(80 + -2x) + (40 + -2x)(80 + -2x)
s = (40 * x + -2x * x) + x(40 + -2x) + x(80 + -2x) + x(80 + -2x) + (40 + -2x)(80 + -2x)
s = (40x + -2x2) + x(40 + -2x) + x(80 + -2x) + x(80 + -2x) + (40 + -2x)(80 + -2x)
s = 40x + -2x2 + (40 * x + -2x * x) + x(80 + -2x) + x(80 + -2x) + (40 + -2x)(80 + -2x)
s = 40x + -2x2 + (40x + -2x2) + x(80 + -2x) + x(80 + -2x) + (40 + -2x)(80 + -2x)
s = 40x + -2x2 + 40x + -2x2 + (80 * x + -2x * x) + x(80 + -2x) + (40 + -2x)(80 + -2x)
s = 40x + -2x2 + 40x + -2x2 + (80x + -2x2) + x(80 + -2x) + (40 + -2x)(80 + -2x)
s = 40x + -2x2 + 40x + -2x2 + 80x + -2x2 + (80 * x + -2x * x) + (40 + -2x)(80 + -2x)
s = 40x + -2x2 + 40x + -2x2 + 80x + -2x2 + (80x + -2x2) + (40 + -2x)(80 + -2x)

Multiply (40 + -2x) * (80 + -2x)
s = 40x + -2x2 + 40x + -2x2 + 80x + -2x2 + 80x + -2x2 + (40(80 + -2x) + -2x * (80 + -2x))
s = 40x + -2x2 + 40x + -2x2 + 80x + -2x2 + 80x + -2x2 + ((80 * 40 + -2x * 40) + -2x * (80 + -2x))
s = 40x + -2x2 + 40x + -2x2 + 80x + -2x2 + 80x + -2x2 + ((3200 + -80x) + -2x * (80 + -2x))
s = 40x + -2x2 + 40x + -2x2 + 80x + -2x2 + 80x + -2x2 + (3200 + -80x + (80 * -2x + -2x * -2x))
s = 40x + -2x2 + 40x + -2x2 + 80x + -2x2 + 80x + -2x2 + (3200 + -80x + (-160x + 4x2))

Combine like terms: -80x + -160x = -240x
s = 40x + -2x2 + 40x + -2x2 + 80x + -2x2 + 80x + -2x2 + (3200 + -240x + 4x2)

Reorder the terms:
s = 3200 + 40x + 40x + 80x + 80x + -240x + -2x2 + -2x2 + -2x2 + -2x2 + 4x2

Combine like terms: 40x + 40x = 80x
s = 3200 + 80x + 80x + 80x + -240x + -2x2 + -2x2 + -2x2 + -2x2 + 4x2

Combine like terms: 80x + 80x = 160x
s = 3200 + 160x + 80x + -240x + -2x2 + -2x2 + -2x2 + -2x2 + 4x2

Combine like terms: 160x + 80x = 240x
s = 3200 + 240x + -240x + -2x2 + -2x2 + -2x2 + -2x2 + 4x2

Combine like terms: 240x + -240x = 0
s = 3200 + 0 + -2x2 + -2x2 + -2x2 + -2x2 + 4x2
s = 3200 + -2x2 + -2x2 + -2x2 + -2x2 + 4x2

Combine like terms: -2x2 + -2x2 = -4x2
s = 3200 + -4x2 + -2x2 + -2x2 + 4x2

Combine like terms: -4x2 + -2x2 = -6x2
s = 3200 + -6x2 + -2x2 + 4x2

Combine like terms: -6x2 + -2x2 = -8x2
s = 3200 + -8x2 + 4x2

Combine like terms: -8x2 + 4x2 = -4x2
s = 3200 + -4x2

Solving
s = 3200 + -4x2

Solving for variable 's'.

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

Simplifying
s = 3200 + -4x2

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