-4.5x^2+4x-1.5=0

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Solution for -4.5x^2+4x-1.5=0 equation: 


Simplifying
-4.5x2 + 4x + -1.5 = 0

Reorder the terms:
-1.5 + 4x + -4.5x2 = 0

Solving
-1.5 + 4x + -4.5x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-4.5 the coefficient of the squared term: 

Divide each side by '-4.5'.
0.3333333333 + -0.8888888889x + x2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + -0.8888888889x + -0.3333333333 + x2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + -0.8888888889x + x2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + -0.8888888889x + x2 = 0 + -0.3333333333
-0.8888888889x + x2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
-0.8888888889x + x2 = -0.3333333333

The x term is -0.8888888889x.  Take half its coefficient (-0.4444444445).
Square it (0.1975308642) and add it to both sides.

Add '0.1975308642' to each side of the equation.
-0.8888888889x + 0.1975308642 + x2 = -0.3333333333 + 0.1975308642

Reorder the terms:
0.1975308642 + -0.8888888889x + x2 = -0.3333333333 + 0.1975308642

Combine like terms: -0.3333333333 + 0.1975308642 = -0.1358024691
0.1975308642 + -0.8888888889x + x2 = -0.1358024691

Factor a perfect square on the left side:
(x + -0.4444444445)(x + -0.4444444445) = -0.1358024691

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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