2.5x^2-12x+44=0

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Solution for 2.5x^2-12x+44=0 equation:


Simplifying
2.5x2 + -12x + 44 = 0

Reorder the terms:
44 + -12x + 2.5x2 = 0

Solving
44 + -12x + 2.5x2 = 0

Solving for variable 'x'.

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

Divide each side by '2.5'.
17.6 + -4.8x + x2 = 0

Move the constant term to the right:

Add '-17.6' to each side of the equation.
17.6 + -4.8x + -17.6 + x2 = 0 + -17.6

Reorder the terms:
17.6 + -17.6 + -4.8x + x2 = 0 + -17.6

Combine like terms: 17.6 + -17.6 = 0.0
0.0 + -4.8x + x2 = 0 + -17.6
-4.8x + x2 = 0 + -17.6

Combine like terms: 0 + -17.6 = -17.6
-4.8x + x2 = -17.6

The x term is -4.8x.  Take half its coefficient (-2.4).
Square it (5.76) and add it to both sides.

Add '5.76' to each side of the equation.
-4.8x + 5.76 + x2 = -17.6 + 5.76

Reorder the terms:
5.76 + -4.8x + x2 = -17.6 + 5.76

Combine like terms: -17.6 + 5.76 = -11.84
5.76 + -4.8x + x2 = -11.84

Factor a perfect square on the left side:
(x + -2.4)(x + -2.4) = -11.84

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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