0.5=0.5x^2-0.3x+1.5

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Solution for 0.5=0.5x^2-0.3x+1.5 equation: 


Simplifying
0.5 = 0.5x2 + -0.3x + 1.5

Reorder the terms:
0.5 = 1.5 + -0.3x + 0.5x2

Solving
0.5 = 1.5 + -0.3x + 0.5x2

Solving for variable 'x'.

Combine like terms: 0.5 + -1.5 = -1
-1 + 0.3x + -0.5x2 = 1.5 + -0.3x + 0.5x2 + -1.5 + 0.3x + -0.5x2

Reorder the terms:
-1 + 0.3x + -0.5x2 = 1.5 + -1.5 + -0.3x + 0.3x + 0.5x2 + -0.5x2

Combine like terms: 1.5 + -1.5 = 0.0
-1 + 0.3x + -0.5x2 = 0.0 + -0.3x + 0.3x + 0.5x2 + -0.5x2
-1 + 0.3x + -0.5x2 = -0.3x + 0.3x + 0.5x2 + -0.5x2

Combine like terms: -0.3x + 0.3x = 0.0
-1 + 0.3x + -0.5x2 = 0.0 + 0.5x2 + -0.5x2
-1 + 0.3x + -0.5x2 = 0.5x2 + -0.5x2

Combine like terms: 0.5x2 + -0.5x2 = 0.0
-1 + 0.3x + -0.5x2 = 0.0

Begin completing the square.  Divide all terms by
-0.5 the coefficient of the squared term: 

Divide each side by '-0.5'.
2 + -0.6x + x2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -0.6x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + -0.6x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -0.6x + x2 = 0 + -2
-0.6x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-0.6x + x2 = -2

The x term is -0.6x.  Take half its coefficient (-0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
-0.6x + 0.09 + x2 = -2 + 0.09

Reorder the terms:
0.09 + -0.6x + x2 = -2 + 0.09

Combine like terms: -2 + 0.09 = -1.91
0.09 + -0.6x + x2 = -1.91

Factor a perfect square on the left side:
(x + -0.3)(x + -0.3) = -1.91

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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