6x^2+11=-4x-2x^2

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Solution for 6x^2+11=-4x-2x^2 equation: 


Simplifying
6x2 + 11 = -4x + -2x2

Reorder the terms:
11 + 6x2 = -4x + -2x2

Solving
11 + 6x2 = -4x + -2x2

Solving for variable 'x'.

Reorder the terms:
11 + 4x + 6x2 + 2x2 = -4x + -2x2 + 4x + 2x2

Combine like terms: 6x2 + 2x2 = 8x2
11 + 4x + 8x2 = -4x + -2x2 + 4x + 2x2

Reorder the terms:
11 + 4x + 8x2 = -4x + 4x + -2x2 + 2x2

Combine like terms: -4x + 4x = 0
11 + 4x + 8x2 = 0 + -2x2 + 2x2
11 + 4x + 8x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
11 + 4x + 8x2 = 0

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

Divide each side by '8'.
1.375 + 0.5x + x2 = 0

Move the constant term to the right:

Add '-1.375' to each side of the equation.
1.375 + 0.5x + -1.375 + x2 = 0 + -1.375

Reorder the terms:
1.375 + -1.375 + 0.5x + x2 = 0 + -1.375

Combine like terms: 1.375 + -1.375 = 0.000
0.000 + 0.5x + x2 = 0 + -1.375
0.5x + x2 = 0 + -1.375

Combine like terms: 0 + -1.375 = -1.375
0.5x + x2 = -1.375

The x term is 0.5x.  Take half its coefficient (0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
0.5x + 0.0625 + x2 = -1.375 + 0.0625

Reorder the terms:
0.0625 + 0.5x + x2 = -1.375 + 0.0625

Combine like terms: -1.375 + 0.0625 = -1.3125
0.0625 + 0.5x + x2 = -1.3125

Factor a perfect square on the left side:
(x + 0.25)(x + 0.25) = -1.3125

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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