=1.5x^2-4x+5

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Solution for =1.5x^2-4x+5 equation: 


Simplifying
0 = 1.5x2 + -4x + 5

Reorder the terms:
0 = 5 + -4x + 1.5x2

Solving
0 = 5 + -4x + 1.5x2

Solving for variable 'x'.

Combine like terms: 0 + -5 = -5
-5 + 4x + -1.5x2 = 5 + -4x + 1.5x2 + -5 + 4x + -1.5x2

Reorder the terms:
-5 + 4x + -1.5x2 = 5 + -5 + -4x + 4x + 1.5x2 + -1.5x2

Combine like terms: 5 + -5 = 0
-5 + 4x + -1.5x2 = 0 + -4x + 4x + 1.5x2 + -1.5x2
-5 + 4x + -1.5x2 = -4x + 4x + 1.5x2 + -1.5x2

Combine like terms: -4x + 4x = 0
-5 + 4x + -1.5x2 = 0 + 1.5x2 + -1.5x2
-5 + 4x + -1.5x2 = 1.5x2 + -1.5x2

Combine like terms: 1.5x2 + -1.5x2 = 0.0
-5 + 4x + -1.5x2 = 0.0

Begin completing the square.  Divide all terms by
-1.5 the coefficient of the squared term: 

Divide each side by '-1.5'.
3.333333333 + -2.666666667x + x2 = 0

Move the constant term to the right:

Add '-3.333333333' to each side of the equation.
3.333333333 + -2.666666667x + -3.333333333 + x2 = 0 + -3.333333333

Reorder the terms:
3.333333333 + -3.333333333 + -2.666666667x + x2 = 0 + -3.333333333

Combine like terms: 3.333333333 + -3.333333333 = 0.000000000
0.000000000 + -2.666666667x + x2 = 0 + -3.333333333
-2.666666667x + x2 = 0 + -3.333333333

Combine like terms: 0 + -3.333333333 = -3.333333333
-2.666666667x + x2 = -3.333333333

The x term is -2.666666667x.  Take half its coefficient (-1.333333334).
Square it (1.777777780) and add it to both sides.

Add '1.777777780' to each side of the equation.
-2.666666667x + 1.777777780 + x2 = -3.333333333 + 1.777777780

Reorder the terms:
1.777777780 + -2.666666667x + x2 = -3.333333333 + 1.777777780

Combine like terms: -3.333333333 + 1.777777780 = -1.555555553
1.777777780 + -2.666666667x + x2 = -1.555555553

Factor a perfect square on the left side:
(x + -1.333333334)(x + -1.333333334) = -1.555555553

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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