6x^2-5x+6.25=0

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Solution for 6x^2-5x+6.25=0 equation: 


Simplifying
6x2 + -5x + 6.25 = 0

Reorder the terms:
6.25 + -5x + 6x2 = 0

Solving
6.25 + -5x + 6x2 = 0

Solving for variable 'x'.

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

Divide each side by '6'.
1.041666667 + -0.8333333333x + x2 = 0

Move the constant term to the right:

Add '-1.041666667' to each side of the equation.
1.041666667 + -0.8333333333x + -1.041666667 + x2 = 0 + -1.041666667

Reorder the terms:
1.041666667 + -1.041666667 + -0.8333333333x + x2 = 0 + -1.041666667

Combine like terms: 1.041666667 + -1.041666667 = 0.000000000
0.000000000 + -0.8333333333x + x2 = 0 + -1.041666667
-0.8333333333x + x2 = 0 + -1.041666667

Combine like terms: 0 + -1.041666667 = -1.041666667
-0.8333333333x + x2 = -1.041666667

The x term is -0.8333333333x.  Take half its coefficient (-0.4166666667).
Square it (0.1736111111) and add it to both sides.

Add '0.1736111111' to each side of the equation.
-0.8333333333x + 0.1736111111 + x2 = -1.041666667 + 0.1736111111

Reorder the terms:
0.1736111111 + -0.8333333333x + x2 = -1.041666667 + 0.1736111111

Combine like terms: -1.041666667 + 0.1736111111 = -0.8680555559
0.1736111111 + -0.8333333333x + x2 = -0.8680555559

Factor a perfect square on the left side:
(x + -0.4166666667)(x + -0.4166666667) = -0.8680555559

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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