-2x^2-4x+1=-0.5x+3

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Solution for -2x^2-4x+1=-0.5x+3 equation: 


Simplifying
-2x2 + -4x + 1 = -0.5x + 3

Reorder the terms:
1 + -4x + -2x2 = -0.5x + 3

Reorder the terms:
1 + -4x + -2x2 = 3 + -0.5x

Solving
1 + -4x + -2x2 = 3 + -0.5x

Solving for variable 'x'.

Reorder the terms:
1 + -3 + -4x + 0.5x + -2x2 = 3 + -0.5x + -3 + 0.5x

Combine like terms: 1 + -3 = -2
-2 + -4x + 0.5x + -2x2 = 3 + -0.5x + -3 + 0.5x

Combine like terms: -4x + 0.5x = -3.5x
-2 + -3.5x + -2x2 = 3 + -0.5x + -3 + 0.5x

Reorder the terms:
-2 + -3.5x + -2x2 = 3 + -3 + -0.5x + 0.5x

Combine like terms: 3 + -3 = 0
-2 + -3.5x + -2x2 = 0 + -0.5x + 0.5x
-2 + -3.5x + -2x2 = -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
-2 + -3.5x + -2x2 = 0.0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
1 + 1.75x + x2 = 0.0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + 1.75x + -1 + x2 = 0.0 + -1

Reorder the terms:
1 + -1 + 1.75x + x2 = 0.0 + -1

Combine like terms: 1 + -1 = 0
0 + 1.75x + x2 = 0.0 + -1
1.75x + x2 = 0.0 + -1

Combine like terms: 0.0 + -1 = -1
1.75x + x2 = -1

The x term is 1.75x.  Take half its coefficient (0.875).
Square it (0.765625) and add it to both sides.

Add '0.765625' to each side of the equation.
1.75x + 0.765625 + x2 = -1 + 0.765625

Reorder the terms:
0.765625 + 1.75x + x2 = -1 + 0.765625

Combine like terms: -1 + 0.765625 = -0.234375
0.765625 + 1.75x + x2 = -0.234375

Factor a perfect square on the left side:
(x + 0.875)(x + 0.875) = -0.234375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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