=x^2-8x+63

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Solution for =x^2-8x+63 equation:


Simplifying
0 = x2 + -8x + 63

Reorder the terms:
0 = 63 + -8x + x2

Solving
0 = 63 + -8x + x2

Solving for variable 'x'.

Combine like terms: 0 + -63 = -63
-63 + 8x + -1x2 = 63 + -8x + x2 + -63 + 8x + -1x2

Reorder the terms:
-63 + 8x + -1x2 = 63 + -63 + -8x + 8x + x2 + -1x2

Combine like terms: 63 + -63 = 0
-63 + 8x + -1x2 = 0 + -8x + 8x + x2 + -1x2
-63 + 8x + -1x2 = -8x + 8x + x2 + -1x2

Combine like terms: -8x + 8x = 0
-63 + 8x + -1x2 = 0 + x2 + -1x2
-63 + 8x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-63 + 8x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
63 + -8x + x2 = 0

Move the constant term to the right:

Add '-63' to each side of the equation.
63 + -8x + -63 + x2 = 0 + -63

Reorder the terms:
63 + -63 + -8x + x2 = 0 + -63

Combine like terms: 63 + -63 = 0
0 + -8x + x2 = 0 + -63
-8x + x2 = 0 + -63

Combine like terms: 0 + -63 = -63
-8x + x2 = -63

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = -63 + 16

Reorder the terms:
16 + -8x + x2 = -63 + 16

Combine like terms: -63 + 16 = -47
16 + -8x + x2 = -47

Factor a perfect square on the left side:
(x + -4)(x + -4) = -47

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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