6x^2-3x+2.25=1.25

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Solution for 6x^2-3x+2.25=1.25 equation: 


Simplifying
6x2 + -3x + 2.25 = 1.25

Reorder the terms:
2.25 + -3x + 6x2 = 1.25

Solving
2.25 + -3x + 6x2 = 1.25

Solving for variable 'x'.

Reorder the terms:
2.25 + -1.25 + -3x + 6x2 = 1.25 + -1.25

Combine like terms: 2.25 + -1.25 = 1
1 + -3x + 6x2 = 1.25 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
1 + -3x + 6x2 = 0.00

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

Divide each side by '6'.
0.1666666667 + -0.5x + x2 = 0.00

Move the constant term to the right:

Add '-0.1666666667' to each side of the equation.
0.1666666667 + -0.5x + -0.1666666667 + x2 = 0.00 + -0.1666666667

Reorder the terms:
0.1666666667 + -0.1666666667 + -0.5x + x2 = 0.00 + -0.1666666667

Combine like terms: 0.1666666667 + -0.1666666667 = 0.0000000000
0.0000000000 + -0.5x + x2 = 0.00 + -0.1666666667
-0.5x + x2 = 0.00 + -0.1666666667

Combine like terms: 0.00 + -0.1666666667 = -0.1666666667
-0.5x + x2 = -0.1666666667

The x term is -0.5x.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x + 0.0625 + x2 = -0.1666666667 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -0.1666666667 + 0.0625

Combine like terms: -0.1666666667 + 0.0625 = -0.1041666667
0.0625 + -0.5x + x2 = -0.1041666667

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -0.1041666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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