P(c)=4x^2+2x-5(x-2)

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Solution for P(c)=4x^2+2x-5(x-2) equation: 


Simplifying
P(c) = 4x2 + 2x + -5(x + -2)

Multiply P * c
cP = 4x2 + 2x + -5(x + -2)

Reorder the terms:
cP = 4x2 + 2x + -5(-2 + x)
cP = 4x2 + 2x + (-2 * -5 + x * -5)
cP = 4x2 + 2x + (10 + -5x)

Reorder the terms:
cP = 10 + 2x + -5x + 4x2

Combine like terms: 2x + -5x = -3x
cP = 10 + -3x + 4x2

Solving
cP = 10 + -3x + 4x2

Solving for variable 'c'.

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

Divide each side by 'P'.
c = 10P-1 + -3xP-1 + 4x2P-1

Simplifying
c = 10P-1 + -3xP-1 + 4x2P-1

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