2x^2-6x=-41

Solution for 2x^2-6x=-41 equation:

Simplifying
2x2 + -6x = -41

Reorder the terms:
-6x + 2x2 = -41

Solving
-6x + 2x2 = -41

Solving for variable 'x'.

Reorder the terms:
41 + -6x + 2x2 = -41 + 41

Combine like terms: -41 + 41 = 0
41 + -6x + 2x2 = 0

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

Divide each side by '2'.
20.5 + -3x + x2 = 0

Move the constant term to the right:

Add '-20.5' to each side of the equation.
20.5 + -3x + -20.5 + x2 = 0 + -20.5

Reorder the terms:
20.5 + -20.5 + -3x + x2 = 0 + -20.5

Combine like terms: 20.5 + -20.5 = 0.0
0.0 + -3x + x2 = 0 + -20.5
-3x + x2 = 0 + -20.5

Combine like terms: 0 + -20.5 = -20.5
-3x + x2 = -20.5

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 = -20.5 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -20.5 + 2.25

Combine like terms: -20.5 + 2.25 = -18.25
2.25 + -3x + x2 = -18.25

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -18.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.