0.2X^2-3X+60=0

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Solution for 0.2X^2-3X+60=0 equation:


Simplifying
0.2X2 + -3X + 60 = 0

Reorder the terms:
60 + -3X + 0.2X2 = 0

Solving
60 + -3X + 0.2X2 = 0

Solving for variable 'X'.

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

Divide each side by '0.2'.
300 + -15X + X2 = 0

Move the constant term to the right:

Add '-300' to each side of the equation.
300 + -15X + -300 + X2 = 0 + -300

Reorder the terms:
300 + -300 + -15X + X2 = 0 + -300

Combine like terms: 300 + -300 = 0
0 + -15X + X2 = 0 + -300
-15X + X2 = 0 + -300

Combine like terms: 0 + -300 = -300
-15X + X2 = -300

The X term is -15X.  Take half its coefficient (-7.5).
Square it (56.25) and add it to both sides.

Add '56.25' to each side of the equation.
-15X + 56.25 + X2 = -300 + 56.25

Reorder the terms:
56.25 + -15X + X2 = -300 + 56.25

Combine like terms: -300 + 56.25 = -243.75
56.25 + -15X + X2 = -243.75

Factor a perfect square on the left side:
(X + -7.5)(X + -7.5) = -243.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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