p(30)=(18+x)(600-5x)

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Solution for p(30)=(18+x)(600-5x) equation: 


Simplifying
p(30) = (18 + x)(600 + -5x)

Reorder the terms for easier multiplication:
30p = (18 + x)(600 + -5x)

Multiply (18 + x) * (600 + -5x)
30p = (18(600 + -5x) + x(600 + -5x))
30p = ((600 * 18 + -5x * 18) + x(600 + -5x))
30p = ((10800 + -90x) + x(600 + -5x))
30p = (10800 + -90x + (600 * x + -5x * x))
30p = (10800 + -90x + (600x + -5x2))

Combine like terms: -90x + 600x = 510x
30p = (10800 + 510x + -5x2)

Solving
30p = 10800 + 510x + -5x2

Solving for variable 'p'.

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

Divide each side by '30'.
p = 360 + 17x + -0.1666666667x2

Simplifying
p = 360 + 17x + -0.1666666667x2

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