3.6=-0.5x^2+2x+1.5

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Solution for 3.6=-0.5x^2+2x+1.5 equation: 


Simplifying
3.6 = -0.5x2 + 2x + 1.5

Reorder the terms:
3.6 = 1.5 + 2x + -0.5x2

Solving
3.6 = 1.5 + 2x + -0.5x2

Solving for variable 'x'.

Combine like terms: 3.6 + -1.5 = 2.1
2.1 + -2x + 0.5x2 = 1.5 + 2x + -0.5x2 + -1.5 + -2x + 0.5x2

Reorder the terms:
2.1 + -2x + 0.5x2 = 1.5 + -1.5 + 2x + -2x + -0.5x2 + 0.5x2

Combine like terms: 1.5 + -1.5 = 0.0
2.1 + -2x + 0.5x2 = 0.0 + 2x + -2x + -0.5x2 + 0.5x2
2.1 + -2x + 0.5x2 = 2x + -2x + -0.5x2 + 0.5x2

Combine like terms: 2x + -2x = 0
2.1 + -2x + 0.5x2 = 0 + -0.5x2 + 0.5x2
2.1 + -2x + 0.5x2 = -0.5x2 + 0.5x2

Combine like terms: -0.5x2 + 0.5x2 = 0.0
2.1 + -2x + 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'.
4.2 + -4x + x2 = 0

Move the constant term to the right:

Add '-4.2' to each side of the equation.
4.2 + -4x + -4.2 + x2 = 0 + -4.2

Reorder the terms:
4.2 + -4.2 + -4x + x2 = 0 + -4.2

Combine like terms: 4.2 + -4.2 = 0.0
0.0 + -4x + x2 = 0 + -4.2
-4x + x2 = 0 + -4.2

Combine like terms: 0 + -4.2 = -4.2
-4x + x2 = -4.2

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = -4.2 + 4

Reorder the terms:
4 + -4x + x2 = -4.2 + 4

Combine like terms: -4.2 + 4 = -0.2
4 + -4x + x2 = -0.2

Factor a perfect square on the left side:
(x + -2)(x + -2) = -0.2

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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