-x^2+3x-192=0

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Solution for -x^2+3x-192=0 equation:


Simplifying
-1x2 + 3x + -192 = 0

Reorder the terms:
-192 + 3x + -1x2 = 0

Solving
-192 + 3x + -1x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
192 + -3x + x2 = 0

Move the constant term to the right:

Add '-192' to each side of the equation.
192 + -3x + -192 + x2 = 0 + -192

Reorder the terms:
192 + -192 + -3x + x2 = 0 + -192

Combine like terms: 192 + -192 = 0
0 + -3x + x2 = 0 + -192
-3x + x2 = 0 + -192

Combine like terms: 0 + -192 = -192
-3x + x2 = -192

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -192 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -192 + 2.25

Combine like terms: -192 + 2.25 = -189.75
2.25 + -3x + x2 = -189.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -189.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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