2.25x^2-3x=-1

Solution for 2.25x^2-3x=-1 equation:

Simplifying
2.25x2 + -3x = -1

Reorder the terms:
-3x + 2.25x2 = -1

Solving
-3x + 2.25x2 = -1

Solving for variable 'x'.

Reorder the terms:
1 + -3x + 2.25x2 = -1 + 1

Combine like terms: -1 + 1 = 0
1 + -3x + 2.25x2 = 0

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

Divide each side by '2.25'.
0.4444444444 + -1.333333333x + x2 = 0

Move the constant term to the right:

Add '-0.4444444444' to each side of the equation.
0.4444444444 + -1.333333333x + -0.4444444444 + x2 = 0 + -0.4444444444

Reorder the terms:
0.4444444444 + -0.4444444444 + -1.333333333x + x2 = 0 + -0.4444444444

Combine like terms: 0.4444444444 + -0.4444444444 = 0.0000000000
0.0000000000 + -1.333333333x + x2 = 0 + -0.4444444444
-1.333333333x + x2 = 0 + -0.4444444444

Combine like terms: 0 + -0.4444444444 = -0.4444444444
-1.333333333x + x2 = -0.4444444444

The x term is -1.333333333x.  Take half its coefficient (-0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
-1.333333333x + 0.4444444442 + x2 = -0.4444444444 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333x + x2 = -0.4444444444 + 0.4444444442

Combine like terms: -0.4444444444 + 0.4444444442 = -0.0000000002
0.4444444442 + -1.333333333x + x2 = -0.0000000002

Factor a perfect square on the left side:
(x + -0.6666666665)(x + -0.6666666665) = -0.0000000002

Can't calculate square root of the right side.

The solution to this equation could not be determined.