x^2-12x+8=x^2+p^2+2px+q

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Solution for x^2-12x+8=x^2+p^2+2px+q equation: 


Simplifying
x2 + -12x + 8 = x2 + p2 + 2px + q

Reorder the terms:
8 + -12x + x2 = x2 + p2 + 2px + q

Reorder the terms:
8 + -12x + x2 = 2px + p2 + q + x2

Add '-1x2' to each side of the equation.
8 + -12x + x2 + -1x2 = 2px + p2 + q + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
8 + -12x + 0 = 2px + p2 + q + x2 + -1x2
8 + -12x = 2px + p2 + q + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
8 + -12x = 2px + p2 + q + 0
8 + -12x = 2px + p2 + q

Solving
8 + -12x = 2px + p2 + q

Solving for variable 'x'.

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

Add '-2px' to each side of the equation.
8 + -2px + -12x = 2px + p2 + -2px + q

Reorder the terms:
8 + -2px + -12x = 2px + -2px + p2 + q

Combine like terms: 2px + -2px = 0
8 + -2px + -12x = 0 + p2 + q
8 + -2px + -12x = p2 + q

Add '-8' to each side of the equation.
8 + -2px + -8 + -12x = p2 + -8 + q

Reorder the terms:
8 + -8 + -2px + -12x = p2 + -8 + q

Combine like terms: 8 + -8 = 0
0 + -2px + -12x = p2 + -8 + q
-2px + -12x = p2 + -8 + q

Reorder the terms:
-2px + -12x = -8 + p2 + q

Reorder the terms:
8 + -2px + -1p2 + -1q + -12x = -8 + p2 + q + 8 + -1p2 + -1q

Reorder the terms:
8 + -2px + -1p2 + -1q + -12x = -8 + 8 + p2 + -1p2 + q + -1q

Combine like terms: -8 + 8 = 0
8 + -2px + -1p2 + -1q + -12x = 0 + p2 + -1p2 + q + -1q
8 + -2px + -1p2 + -1q + -12x = p2 + -1p2 + q + -1q

Combine like terms: p2 + -1p2 = 0
8 + -2px + -1p2 + -1q + -12x = 0 + q + -1q
8 + -2px + -1p2 + -1q + -12x = q + -1q

Combine like terms: q + -1q = 0
8 + -2px + -1p2 + -1q + -12x = 0

The solution to this equation could not be determined.

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