p(x)=(20+5x)(80-5x)

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Solution for p(x)=(20+5x)(80-5x) equation:


Simplifying
p(x) = (20 + 5x)(80 + -5x)

Multiply p * x
px = (20 + 5x)(80 + -5x)

Multiply (20 + 5x) * (80 + -5x)
px = (20(80 + -5x) + 5x * (80 + -5x))
px = ((80 * 20 + -5x * 20) + 5x * (80 + -5x))
px = ((1600 + -100x) + 5x * (80 + -5x))
px = (1600 + -100x + (80 * 5x + -5x * 5x))
px = (1600 + -100x + (400x + -25x2))

Combine like terms: -100x + 400x = 300x
px = (1600 + 300x + -25x2)

Solving
px = 1600 + 300x + -25x2

Solving for variable 'p'.

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

Divide each side by 'x'.
p = 1600x-1 + 300 + -25x

Simplifying
p = 1600x-1 + 300 + -25x

Reorder the terms:
p = 300 + 1600x-1 + -25x

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