1.25x^2-2x+3=0

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Solution for 1.25x^2-2x+3=0 equation:


Simplifying
1.25x2 + -2x + 3 = 0

Reorder the terms:
3 + -2x + 1.25x2 = 0

Solving
3 + -2x + 1.25x2 = 0

Solving for variable 'x'.

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

Divide each side by '1.25'.
2.4 + -1.6x + x2 = 0

Move the constant term to the right:

Add '-2.4' to each side of the equation.
2.4 + -1.6x + -2.4 + x2 = 0 + -2.4

Reorder the terms:
2.4 + -2.4 + -1.6x + x2 = 0 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + -1.6x + x2 = 0 + -2.4
-1.6x + x2 = 0 + -2.4

Combine like terms: 0 + -2.4 = -2.4
-1.6x + x2 = -2.4

The x term is -1.6x.  Take half its coefficient (-0.8).
Square it (0.64) and add it to both sides.

Add '0.64' to each side of the equation.
-1.6x + 0.64 + x2 = -2.4 + 0.64

Reorder the terms:
0.64 + -1.6x + x2 = -2.4 + 0.64

Combine like terms: -2.4 + 0.64 = -1.76
0.64 + -1.6x + x2 = -1.76

Factor a perfect square on the left side:
(x + -0.8)(x + -0.8) = -1.76

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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