p(x)=70x-0.5x^2-(x+25)

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Solution for p(x)=70x-0.5x^2-(x+25) equation: 


Simplifying
p(x) = 70x + -0.5x2 + -1(x + 25)

Multiply p * x
px = 70x + -0.5x2 + -1(x + 25)

Reorder the terms:
px = 70x + -0.5x2 + -1(25 + x)
px = 70x + -0.5x2 + (25 * -1 + x * -1)
px = 70x + -0.5x2 + (-25 + -1x)

Reorder the terms:
px = -25 + 70x + -1x + -0.5x2

Combine like terms: 70x + -1x = 69x
px = -25 + 69x + -0.5x2

Solving
px = -25 + 69x + -0.5x2

Solving for variable 'p'.

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

Divide each side by 'x'.
p = -25x-1 + 69 + -0.5x

Simplifying
p = -25x-1 + 69 + -0.5x

Reorder the terms:
p = 69 + -25x-1 + -0.5x

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