p(x+1)(x-3)=x-4p-2

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Solution for p(x+1)(x-3)=x-4p-2 equation:


Simplifying
p(x + 1)(x + -3) = x + -4p + -2

Reorder the terms:
p(1 + x)(x + -3) = x + -4p + -2

Reorder the terms:
p(1 + x)(-3 + x) = x + -4p + -2

Multiply (1 + x) * (-3 + x)
p(1(-3 + x) + x(-3 + x)) = x + -4p + -2
p((-3 * 1 + x * 1) + x(-3 + x)) = x + -4p + -2
p((-3 + 1x) + x(-3 + x)) = x + -4p + -2
p(-3 + 1x + (-3 * x + x * x)) = x + -4p + -2
p(-3 + 1x + (-3x + x2)) = x + -4p + -2

Combine like terms: 1x + -3x = -2x
p(-3 + -2x + x2) = x + -4p + -2
(-3 * p + -2x * p + x2 * p) = x + -4p + -2
(-3p + -2px + px2) = x + -4p + -2

Reorder the terms:
-3p + -2px + px2 = -2 + -4p + x

Solving
-3p + -2px + px2 = -2 + -4p + x

Solving for variable 'p'.

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

Add '4p' to each side of the equation.
-3p + -2px + 4p + px2 = -2 + -4p + 4p + x

Reorder the terms:
-3p + 4p + -2px + px2 = -2 + -4p + 4p + x

Combine like terms: -3p + 4p = 1p
1p + -2px + px2 = -2 + -4p + 4p + x

Combine like terms: -4p + 4p = 0
1p + -2px + px2 = -2 + 0 + x
1p + -2px + px2 = -2 + x

Reorder the terms:
2 + 1p + -2px + px2 + -1x = -2 + x + 2 + -1x

Reorder the terms:
2 + 1p + -2px + px2 + -1x = -2 + 2 + x + -1x

Combine like terms: -2 + 2 = 0
2 + 1p + -2px + px2 + -1x = 0 + x + -1x
2 + 1p + -2px + px2 + -1x = x + -1x

Combine like terms: x + -1x = 0
2 + 1p + -2px + px2 + -1x = 0

The solution to this equation could not be determined.

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