0.5x(x+2)=0.5x-1

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Solution for 0.5x(x+2)=0.5x-1 equation: 


Simplifying
0.5x(x + 2) = 0.5x + -1

Reorder the terms:
0.5x(2 + x) = 0.5x + -1
(2 * 0.5x + x * 0.5x) = 0.5x + -1
(1x + 0.5x2) = 0.5x + -1

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

Solving
1x + 0.5x2 = -1 + 0.5x

Solving for variable 'x'.

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

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

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

Combine like terms: -1 + 1 = 0
1 + 0.5x + 0.5x2 = 0 + 0.5x + -0.5x
1 + 0.5x + 0.5x2 = 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
1 + 0.5x + 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 + x + x2 = 0

Move the constant term to the right:

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

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

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

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

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
 + 0.25 + x2 = -2 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + x2 = -2 + 0.25

Combine like terms: -2 + 0.25 = -1.75
1.25 + x2 = -1.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -1.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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