0=x^2-1.5x+1

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Solution for 0=x^2-1.5x+1 equation: 


Simplifying
0 = x2 + -1.5x + 1

Reorder the terms:
0 = 1 + -1.5x + x2

Solving
0 = 1 + -1.5x + x2

Solving for variable 'x'.

Combine like terms: 0 + -1 = -1
-1 + 1.5x + -1x2 = 1 + -1.5x + x2 + -1 + 1.5x + -1x2

Reorder the terms:
-1 + 1.5x + -1x2 = 1 + -1 + -1.5x + 1.5x + x2 + -1x2

Combine like terms: 1 + -1 = 0
-1 + 1.5x + -1x2 = 0 + -1.5x + 1.5x + x2 + -1x2
-1 + 1.5x + -1x2 = -1.5x + 1.5x + x2 + -1x2

Combine like terms: -1.5x + 1.5x = 0.0
-1 + 1.5x + -1x2 = 0.0 + x2 + -1x2
-1 + 1.5x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-1 + 1.5x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
1 + -1.5x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -1.5x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -1.5x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1.5x + x2 = 0 + -1
-1.5x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1.5x + x2 = -1

The x term is -1.5x.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5x + 0.5625 + x2 = -1 + 0.5625

Reorder the terms:
0.5625 + -1.5x + x2 = -1 + 0.5625

Combine like terms: -1 + 0.5625 = -0.4375
0.5625 + -1.5x + x2 = -0.4375

Factor a perfect square on the left side:
(x + -0.75)(x + -0.75) = -0.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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