7+2x^2+1+4x-x+4x^2=

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Solution for 7+2x^2+1+4x-x+4x^2= equation: 


Simplifying
7 + 2x2 + 1 + 4x + -1x + 4x2 = 0

Reorder the terms:
7 + 1 + 4x + -1x + 2x2 + 4x2 = 0

Combine like terms: 7 + 1 = 8
8 + 4x + -1x + 2x2 + 4x2 = 0

Combine like terms: 4x + -1x = 3x
8 + 3x + 2x2 + 4x2 = 0

Combine like terms: 2x2 + 4x2 = 6x2
8 + 3x + 6x2 = 0

Solving
8 + 3x + 6x2 = 0

Solving for variable 'x'.

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

Divide each side by '6'.
1.333333333 + 0.5x + x2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + 0.5x + -1.333333333 + x2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + 0.5x + x2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + 0.5x + x2 = 0 + -1.333333333
0.5x + x2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
0.5x + x2 = -1.333333333

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 = -1.333333333 + 0.0625

Reorder the terms:
0.0625 + 0.5x + x2 = -1.333333333 + 0.0625

Combine like terms: -1.333333333 + 0.0625 = -1.270833333
0.0625 + 0.5x + x2 = -1.270833333

Factor a perfect square on the left side:
(x + 0.25)(x + 0.25) = -1.270833333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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