(x-4)p(x)=x^2+8x-48

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Solution for (x-4)p(x)=x^2+8x-48 equation:


Simplifying
(x + -4) * p(x) = x2 + 8x + -48

Reorder the terms:
(-4 + x) * p(x) = x2 + 8x + -48

Reorder the terms for easier multiplication:
p * x(-4 + x) = x2 + 8x + -48

Multiply p * x
px(-4 + x) = x2 + 8x + -48
(-4 * px + x * px) = x2 + 8x + -48
(-4px + px2) = x2 + 8x + -48

Reorder the terms:
-4px + px2 = -48 + 8x + x2

Solving
-4px + px2 = -48 + 8x + x2

Solving for variable 'p'.

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

Reorder the terms:
48 + -4px + px2 + -8x + -1x2 = -48 + 8x + x2 + 48 + -8x + -1x2

Reorder the terms:
48 + -4px + px2 + -8x + -1x2 = -48 + 48 + 8x + -8x + x2 + -1x2

Combine like terms: -48 + 48 = 0
48 + -4px + px2 + -8x + -1x2 = 0 + 8x + -8x + x2 + -1x2
48 + -4px + px2 + -8x + -1x2 = 8x + -8x + x2 + -1x2

Combine like terms: 8x + -8x = 0
48 + -4px + px2 + -8x + -1x2 = 0 + x2 + -1x2
48 + -4px + px2 + -8x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
48 + -4px + px2 + -8x + -1x2 = 0

The solution to this equation could not be determined.

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