x^2-8x+10=(x-p)2+q

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Solution for x^2-8x+10=(x-p)2+q equation: 


Simplifying
x2 + -8x + 10 = (x + -1p) * 2 + q

Reorder the terms:
10 + -8x + x2 = (x + -1p) * 2 + q

Reorder the terms:
10 + -8x + x2 = (-1p + x) * 2 + q

Reorder the terms for easier multiplication:
10 + -8x + x2 = 2(-1p + x) + q
10 + -8x + x2 = (-1p * 2 + x * 2) + q
10 + -8x + x2 = (-2p + 2x) + q

Reorder the terms:
10 + -8x + x2 = -2p + q + 2x

Solving
10 + -8x + x2 = -2p + q + 2x

Solving for variable 'x'.

Reorder the terms:
10 + 2p + -1q + -8x + -2x + x2 = -2p + q + 2x + 2p + -1q + -2x

Combine like terms: -8x + -2x = -10x
10 + 2p + -1q + -10x + x2 = -2p + q + 2x + 2p + -1q + -2x

Reorder the terms:
10 + 2p + -1q + -10x + x2 = -2p + 2p + q + -1q + 2x + -2x

Combine like terms: -2p + 2p = 0
10 + 2p + -1q + -10x + x2 = 0 + q + -1q + 2x + -2x
10 + 2p + -1q + -10x + x2 = q + -1q + 2x + -2x

Combine like terms: q + -1q = 0
10 + 2p + -1q + -10x + x2 = 0 + 2x + -2x
10 + 2p + -1q + -10x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
10 + 2p + -1q + -10x + x2 = 0

The solution to this equation could not be determined.

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