p(x)=13x-0.002x^2-(-0.004x^2+9.2x+5000)

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Solution for p(x)=13x-0.002x^2-(-0.004x^2+9.2x+5000) equation: 


Simplifying
p(x) = 13x + -0.002x2 + -1(-0.004x2 + 9.2x + 5000)

Multiply p * x
px = 13x + -0.002x2 + -1(-0.004x2 + 9.2x + 5000)

Reorder the terms:
px = 13x + -0.002x2 + -1(5000 + 9.2x + -0.004x2)
px = 13x + -0.002x2 + (5000 * -1 + 9.2x * -1 + -0.004x2 * -1)
px = 13x + -0.002x2 + (-5000 + -9.2x + 0.004x2)

Reorder the terms:
px = -5000 + 13x + -9.2x + -0.002x2 + 0.004x2

Combine like terms: 13x + -9.2x = 3.8x
px = -5000 + 3.8x + -0.002x2 + 0.004x2

Combine like terms: -0.002x2 + 0.004x2 = 0.002x2
px = -5000 + 3.8x + 0.002x2

Solving
px = -5000 + 3.8x + 0.002x2

Solving for variable 'p'.

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

Divide each side by 'x'.
p = -5000x-1 + 3.8 + 0.002x

Simplifying
p = -5000x-1 + 3.8 + 0.002x

Reorder the terms:
p = 3.8 + -5000x-1 + 0.002x

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