2x^2-4x+8=-x-4

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Solution for 2x^2-4x+8=-x-4 equation:


Simplifying
2x2 + -4x + 8 = -1x + -4

Reorder the terms:
8 + -4x + 2x2 = -1x + -4

Reorder the terms:
8 + -4x + 2x2 = -4 + -1x

Solving
8 + -4x + 2x2 = -4 + -1x

Solving for variable 'x'.

Reorder the terms:
8 + 4 + -4x + x + 2x2 = -4 + -1x + 4 + x

Combine like terms: 8 + 4 = 12
12 + -4x + x + 2x2 = -4 + -1x + 4 + x

Combine like terms: -4x + x = -3x
12 + -3x + 2x2 = -4 + -1x + 4 + x

Reorder the terms:
12 + -3x + 2x2 = -4 + 4 + -1x + x

Combine like terms: -4 + 4 = 0
12 + -3x + 2x2 = 0 + -1x + x
12 + -3x + 2x2 = -1x + x

Combine like terms: -1x + x = 0
12 + -3x + 2x2 = 0

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

Divide each side by '2'.
6 + -1.5x + x2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -1.5x + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + -1.5x + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1.5x + x2 = 0 + -6
-1.5x + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
-1.5x + x2 = -6

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 = -6 + 0.5625

Reorder the terms:
0.5625 + -1.5x + x2 = -6 + 0.5625

Combine like terms: -6 + 0.5625 = -5.4375
0.5625 + -1.5x + x2 = -5.4375

Factor a perfect square on the left side:
(x + -0.75)(x + -0.75) = -5.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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