2=x^2-20x+125

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Solution for 2=x^2-20x+125 equation:


Simplifying
2 = x2 + -20x + 125

Reorder the terms:
2 = 125 + -20x + x2

Solving
2 = 125 + -20x + x2

Solving for variable 'x'.

Combine like terms: 2 + -125 = -123
-123 + 20x + -1x2 = 125 + -20x + x2 + -125 + 20x + -1x2

Reorder the terms:
-123 + 20x + -1x2 = 125 + -125 + -20x + 20x + x2 + -1x2

Combine like terms: 125 + -125 = 0
-123 + 20x + -1x2 = 0 + -20x + 20x + x2 + -1x2
-123 + 20x + -1x2 = -20x + 20x + x2 + -1x2

Combine like terms: -20x + 20x = 0
-123 + 20x + -1x2 = 0 + x2 + -1x2
-123 + 20x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-123 + 20x + -1x2 = 0

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

Divide each side by '-1'.
123 + -20x + x2 = 0

Move the constant term to the right:

Add '-123' to each side of the equation.
123 + -20x + -123 + x2 = 0 + -123

Reorder the terms:
123 + -123 + -20x + x2 = 0 + -123

Combine like terms: 123 + -123 = 0
0 + -20x + x2 = 0 + -123
-20x + x2 = 0 + -123

Combine like terms: 0 + -123 = -123
-20x + x2 = -123

The x term is -20x.  Take half its coefficient (-10).
Square it (100) and add it to both sides.

Add '100' to each side of the equation.
-20x + 100 + x2 = -123 + 100

Reorder the terms:
100 + -20x + x2 = -123 + 100

Combine like terms: -123 + 100 = -23
100 + -20x + x2 = -23

Factor a perfect square on the left side:
(x + -10)(x + -10) = -23

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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