-28x^2+11x-378=0

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Solution for -28x^2+11x-378=0 equation:


Simplifying
-28x2 + 11x + -378 = 0

Reorder the terms:
-378 + 11x + -28x2 = 0

Solving
-378 + 11x + -28x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-28 the coefficient of the squared term: 

Divide each side by '-28'.
13.5 + -0.3928571429x + x2 = 0

Move the constant term to the right:

Add '-13.5' to each side of the equation.
13.5 + -0.3928571429x + -13.5 + x2 = 0 + -13.5

Reorder the terms:
13.5 + -13.5 + -0.3928571429x + x2 = 0 + -13.5

Combine like terms: 13.5 + -13.5 = 0.0
0.0 + -0.3928571429x + x2 = 0 + -13.5
-0.3928571429x + x2 = 0 + -13.5

Combine like terms: 0 + -13.5 = -13.5
-0.3928571429x + x2 = -13.5

The x term is -0.3928571429x.  Take half its coefficient (-0.1964285715).
Square it (0.03858418370) and add it to both sides.

Add '0.03858418370' to each side of the equation.
-0.3928571429x + 0.03858418370 + x2 = -13.5 + 0.03858418370

Reorder the terms:
0.03858418370 + -0.3928571429x + x2 = -13.5 + 0.03858418370

Combine like terms: -13.5 + 0.03858418370 = -13.4614158163
0.03858418370 + -0.3928571429x + x2 = -13.4614158163

Factor a perfect square on the left side:
(x + -0.1964285715)(x + -0.1964285715) = -13.4614158163

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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