(x*x)-8x+10=(x-p)(x-p)+q

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


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

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

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

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

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

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

Reorder the terms:
10 + -8x + x2 = ((-1px + 1p2) + x(-1p + x)) + q
10 + -8x + x2 = ((-1px + 1p2) + x(-1p + x)) + q
10 + -8x + x2 = (-1px + 1p2 + (-1p * x + x * x)) + q
10 + -8x + x2 = (-1px + 1p2 + (-1px + x2)) + q

Reorder the terms:
10 + -8x + x2 = (-1px + -1px + 1p2 + x2) + q

Combine like terms: -1px + -1px = -2px
10 + -8x + x2 = (-2px + 1p2 + x2) + q

Reorder the terms:
10 + -8x + x2 = -2px + 1p2 + q + x2

Add '-1x2' to each side of the equation.
10 + -8x + x2 + -1x2 = -2px + 1p2 + q + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
10 + -8x + 0 = -2px + 1p2 + q + x2 + -1x2
10 + -8x = -2px + 1p2 + q + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
10 + -8x = -2px + 1p2 + q + 0
10 + -8x = -2px + 1p2 + q

Solving
10 + -8x = -2px + 1p2 + 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.
10 + 2px + -8x = -2px + 1p2 + 2px + q

Reorder the terms:
10 + 2px + -8x = -2px + 2px + 1p2 + q

Combine like terms: -2px + 2px = 0
10 + 2px + -8x = 0 + 1p2 + q
10 + 2px + -8x = 1p2 + q

Add '-10' to each side of the equation.
10 + 2px + -10 + -8x = 1p2 + -10 + q

Reorder the terms:
10 + -10 + 2px + -8x = 1p2 + -10 + q

Combine like terms: 10 + -10 = 0
0 + 2px + -8x = 1p2 + -10 + q
2px + -8x = 1p2 + -10 + q

Reorder the terms:
2px + -8x = -10 + 1p2 + q

Reorder the terms:
10 + 2px + -1p2 + -1q + -8x = -10 + 1p2 + q + 10 + -1p2 + -1q

Reorder the terms:
10 + 2px + -1p2 + -1q + -8x = -10 + 10 + 1p2 + -1p2 + q + -1q

Combine like terms: -10 + 10 = 0
10 + 2px + -1p2 + -1q + -8x = 0 + 1p2 + -1p2 + q + -1q
10 + 2px + -1p2 + -1q + -8x = 1p2 + -1p2 + q + -1q

Combine like terms: 1p2 + -1p2 = 0
10 + 2px + -1p2 + -1q + -8x = 0 + q + -1q
10 + 2px + -1p2 + -1q + -8x = q + -1q

Combine like terms: q + -1q = 0
10 + 2px + -1p2 + -1q + -8x = 0

The solution to this equation could not be determined.

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