(X-6)p(x)=-2x^2+15x-18

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Solution for (X-6)p(x)=-2x^2+15x-18 equation: 


Simplifying
(X + -6) * p(x) = -2x2 + 15x + -18

Reorder the terms:
(-6 + X) * p(x) = -2x2 + 15x + -18

Reorder the terms for easier multiplication:
p * x(-6 + X) = -2x2 + 15x + -18

Multiply p * x
px(-6 + X) = -2x2 + 15x + -18
(-6 * px + X * px) = -2x2 + 15x + -18
(-6px + pxX) = -2x2 + 15x + -18

Reorder the terms:
-6px + pxX = -18 + 15x + -2x2

Solving
-6px + pxX = -18 + 15x + -2x2

Solving for variable 'p'.

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

Reorder the terms:
18 + -6px + pxX + -15x + 2x2 = -18 + 15x + -2x2 + 18 + -15x + 2x2

Reorder the terms:
18 + -6px + pxX + -15x + 2x2 = -18 + 18 + 15x + -15x + -2x2 + 2x2

Combine like terms: -18 + 18 = 0
18 + -6px + pxX + -15x + 2x2 = 0 + 15x + -15x + -2x2 + 2x2
18 + -6px + pxX + -15x + 2x2 = 15x + -15x + -2x2 + 2x2

Combine like terms: 15x + -15x = 0
18 + -6px + pxX + -15x + 2x2 = 0 + -2x2 + 2x2
18 + -6px + pxX + -15x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
18 + -6px + pxX + -15x + 2x2 = 0

The solution to this equation could not be determined.

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