(X+5)p(x)=2x^2-6x-1

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Solution for (X+5)p(x)=2x^2-6x-1 equation: 


Simplifying
(X + 5) * p(x) = 2x2 + -6x + -1

Reorder the terms:
(5 + X) * p(x) = 2x2 + -6x + -1

Reorder the terms for easier multiplication:
p * x(5 + X) = 2x2 + -6x + -1

Multiply p * x
px(5 + X) = 2x2 + -6x + -1
(5 * px + X * px) = 2x2 + -6x + -1
(5px + pxX) = 2x2 + -6x + -1

Reorder the terms:
5px + pxX = -1 + -6x + 2x2

Solving
5px + pxX = -1 + -6x + 2x2

Solving for variable 'p'.

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

Reorder the terms:
1 + 5px + pxX + 6x + -2x2 = -1 + -6x + 2x2 + 1 + 6x + -2x2

Reorder the terms:
1 + 5px + pxX + 6x + -2x2 = -1 + 1 + -6x + 6x + 2x2 + -2x2

Combine like terms: -1 + 1 = 0
1 + 5px + pxX + 6x + -2x2 = 0 + -6x + 6x + 2x2 + -2x2
1 + 5px + pxX + 6x + -2x2 = -6x + 6x + 2x2 + -2x2

Combine like terms: -6x + 6x = 0
1 + 5px + pxX + 6x + -2x2 = 0 + 2x2 + -2x2
1 + 5px + pxX + 6x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
1 + 5px + pxX + 6x + -2x2 = 0

The solution to this equation could not be determined.

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