3x^2-3x=-1.5

Solution for 3x^2-3x=-1.5 equation:

Simplifying
3x2 + -3x = -1.5

Reorder the terms:
-3x + 3x2 = -1.5

Solving
-3x + 3x2 = -1.5

Solving for variable 'x'.

Reorder the terms:
1.5 + -3x + 3x2 = -1.5 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
1.5 + -3x + 3x2 = 0.0

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

Divide each side by '3'.
0.5 + -1x + x2 = 0.0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -1x + -0.5 + x2 = 0.0 + -0.5

Reorder the terms:
0.5 + -0.5 + -1x + x2 = 0.0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -1x + x2 = 0.0 + -0.5
-1x + x2 = 0.0 + -0.5

Combine like terms: 0.0 + -0.5 = -0.5
-1x + x2 = -0.5

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -0.5 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -0.5 + 0.25

Combine like terms: -0.5 + 0.25 = -0.25
0.25 + -1x + x2 = -0.25

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -0.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.