P(x)=64x-0.25x^2-(-0.003x^2+4.2x+1000)

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Solution for P(x)=64x-0.25x^2-(-0.003x^2+4.2x+1000) equation: 


Simplifying
P(x) = 64x + -0.25x2 + -1(-0.003x2 + 4.2x + 1000)

Multiply P * x
xP = 64x + -0.25x2 + -1(-0.003x2 + 4.2x + 1000)

Reorder the terms:
xP = 64x + -0.25x2 + -1(1000 + 4.2x + -0.003x2)
xP = 64x + -0.25x2 + (1000 * -1 + 4.2x * -1 + -0.003x2 * -1)
xP = 64x + -0.25x2 + (-1000 + -4.2x + 0.003x2)

Reorder the terms:
xP = -1000 + 64x + -4.2x + -0.25x2 + 0.003x2

Combine like terms: 64x + -4.2x = 59.8x
xP = -1000 + 59.8x + -0.25x2 + 0.003x2

Combine like terms: -0.25x2 + 0.003x2 = -0.247x2
xP = -1000 + 59.8x + -0.247x2

Solving
xP = -1000 + 59.8x + -0.247x2

Solving for variable 'x'.

Reorder the terms:
1000 + -59.8x + xP + 0.247x2 = -1000 + 59.8x + -0.247x2 + 1000 + -59.8x + 0.247x2

Reorder the terms:
1000 + -59.8x + xP + 0.247x2 = -1000 + 1000 + 59.8x + -59.8x + -0.247x2 + 0.247x2

Combine like terms: -1000 + 1000 = 0
1000 + -59.8x + xP + 0.247x2 = 0 + 59.8x + -59.8x + -0.247x2 + 0.247x2
1000 + -59.8x + xP + 0.247x2 = 59.8x + -59.8x + -0.247x2 + 0.247x2

Combine like terms: 59.8x + -59.8x = 0.0
1000 + -59.8x + xP + 0.247x2 = 0.0 + -0.247x2 + 0.247x2
1000 + -59.8x + xP + 0.247x2 = -0.247x2 + 0.247x2

Combine like terms: -0.247x2 + 0.247x2 = 0.000
1000 + -59.8x + xP + 0.247x2 = 0.000

The solution to this equation could not be determined.

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