p=(280-2x)(50+x)-4(4000-2x)

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Solution for p=(280-2x)(50+x)-4(4000-2x) equation: 


Simplifying
p = (280 + -2x)(50 + x) + -4(4000 + -2x)

Multiply (280 + -2x) * (50 + x)
p = (280(50 + x) + -2x * (50 + x)) + -4(4000 + -2x)
p = ((50 * 280 + x * 280) + -2x * (50 + x)) + -4(4000 + -2x)
p = ((14000 + 280x) + -2x * (50 + x)) + -4(4000 + -2x)
p = (14000 + 280x + (50 * -2x + x * -2x)) + -4(4000 + -2x)
p = (14000 + 280x + (-100x + -2x2)) + -4(4000 + -2x)

Combine like terms: 280x + -100x = 180x
p = (14000 + 180x + -2x2) + -4(4000 + -2x)
p = 14000 + 180x + -2x2 + (4000 * -4 + -2x * -4)
p = 14000 + 180x + -2x2 + (-16000 + 8x)

Reorder the terms:
p = 14000 + -16000 + 180x + 8x + -2x2

Combine like terms: 14000 + -16000 = -2000
p = -2000 + 180x + 8x + -2x2

Combine like terms: 180x + 8x = 188x
p = -2000 + 188x + -2x2

Solving
p = -2000 + 188x + -2x2

Solving for variable 'p'.

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

Simplifying
p = -2000 + 188x + -2x2

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