4=2(4+4x+4x^2)

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Solution for 4=2(4+4x+4x^2) equation: 


Simplifying
4 = 2(4 + 4x + 4x2)
4 = (4 * 2 + 4x * 2 + 4x2 * 2)
4 = (8 + 8x + 8x2)

Solving
4 = 8 + 8x + 8x2

Solving for variable 'x'.

Combine like terms: 4 + -8 = -4
-4 + -8x + -8x2 = 8 + 8x + 8x2 + -8 + -8x + -8x2

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

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

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

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

Factor out the Greatest Common Factor (GCF), '-4'.
-4(1 + 2x + 2x2) = 0

Ignore the factor -4.

Subproblem 1
Set the factor '(1 + 2x + 2x2)' equal to zero and attempt to solve:

Simplifying
1 + 2x + 2x2 = 0

Solving
1 + 2x + 2x2 = 0

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

Divide each side by '2'.
0.5 + x + x2 = 0

Move the constant term to the right:

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

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

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

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

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 = -0.5 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + x2 = -0.5 + 0.25

Combine like terms: -0.5 + 0.25 = -0.25
1.25 + x2 = -0.25

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -0.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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