x^2=2x-63

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


Simplifying
x2 = 2x + -63

Reorder the terms:
x2 = -63 + 2x

Solving
x2 = -63 + 2x

Solving for variable 'x'.

Reorder the terms:
63 + -2x + x2 = -63 + 2x + 63 + -2x

Reorder the terms:
63 + -2x + x2 = -63 + 63 + 2x + -2x

Combine like terms: -63 + 63 = 0
63 + -2x + x2 = 0 + 2x + -2x
63 + -2x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
63 + -2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-63' to each side of the equation.
63 + -2x + -63 + x2 = 0 + -63

Reorder the terms:
63 + -63 + -2x + x2 = 0 + -63

Combine like terms: 63 + -63 = 0
0 + -2x + x2 = 0 + -63
-2x + x2 = 0 + -63

Combine like terms: 0 + -63 = -63
-2x + x2 = -63

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -63 + 1

Reorder the terms:
1 + -2x + x2 = -63 + 1

Combine like terms: -63 + 1 = -62
1 + -2x + x2 = -62

Factor a perfect square on the left side:
(x + -1)(x + -1) = -62

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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