3.57x^2-3x+2.25=0

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Solution for 3.57x^2-3x+2.25=0 equation:


Simplifying
3.57x2 + -3x + 2.25 = 0

Reorder the terms:
2.25 + -3x + 3.57x2 = 0

Solving
2.25 + -3x + 3.57x2 = 0

Solving for variable 'x'.

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

Divide each side by '3.57'.
0.6302521008 + -0.8403361345x + x2 = 0

Move the constant term to the right:

Add '-0.6302521008' to each side of the equation.
0.6302521008 + -0.8403361345x + -0.6302521008 + x2 = 0 + -0.6302521008

Reorder the terms:
0.6302521008 + -0.6302521008 + -0.8403361345x + x2 = 0 + -0.6302521008

Combine like terms: 0.6302521008 + -0.6302521008 = 0.0000000000
0.0000000000 + -0.8403361345x + x2 = 0 + -0.6302521008
-0.8403361345x + x2 = 0 + -0.6302521008

Combine like terms: 0 + -0.6302521008 = -0.6302521008
-0.8403361345x + x2 = -0.6302521008

The x term is -0.8403361345x.  Take half its coefficient (-0.4201680673).
Square it (0.1765412048) and add it to both sides.

Add '0.1765412048' to each side of the equation.
-0.8403361345x + 0.1765412048 + x2 = -0.6302521008 + 0.1765412048

Reorder the terms:
0.1765412048 + -0.8403361345x + x2 = -0.6302521008 + 0.1765412048

Combine like terms: -0.6302521008 + 0.1765412048 = -0.453710896
0.1765412048 + -0.8403361345x + x2 = -0.453710896

Factor a perfect square on the left side:
(x + -0.4201680673)(x + -0.4201680673) = -0.453710896

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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