x^2-5x+12.5=0

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Solution for x^2-5x+12.5=0 equation:


Simplifying
x2 + -5x + 12.5 = 0

Reorder the terms:
12.5 + -5x + x2 = 0

Solving
12.5 + -5x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-12.5' to each side of the equation.
12.5 + -5x + -12.5 + x2 = 0 + -12.5

Reorder the terms:
12.5 + -12.5 + -5x + x2 = 0 + -12.5

Combine like terms: 12.5 + -12.5 = 0.0
0.0 + -5x + x2 = 0 + -12.5
-5x + x2 = 0 + -12.5

Combine like terms: 0 + -12.5 = -12.5
-5x + x2 = -12.5

The x term is -5x.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5x + 6.25 + x2 = -12.5 + 6.25

Reorder the terms:
6.25 + -5x + x2 = -12.5 + 6.25

Combine like terms: -12.5 + 6.25 = -6.25
6.25 + -5x + x2 = -6.25

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = -6.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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