3+2x(2x+1)-2=

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Solution for 3+2x(2x+1)-2= equation:


Simplifying
3 + 2x(2x + 1) + -2 = 0

Reorder the terms:
3 + 2x(1 + 2x) + -2 = 0
3 + (1 * 2x + 2x * 2x) + -2 = 0
3 + (2x + 4x2) + -2 = 0

Reorder the terms:
3 + -2 + 2x + 4x2 = 0

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

Solving
1 + 2x + 4x2 = 0

Solving for variable 'x'.

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

Divide each side by '4'.
0.25 + 0.5x + x2 = 0

Move the constant term to the right:

Add '-0.25' to each side of the equation.
0.25 + 0.5x + -0.25 + x2 = 0 + -0.25

Reorder the terms:
0.25 + -0.25 + 0.5x + x2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + 0.5x + x2 = 0 + -0.25
0.5x + x2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
0.5x + x2 = -0.25

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 = -0.25 + 0.0625

Reorder the terms:
0.0625 + 0.5x + x2 = -0.25 + 0.0625

Combine like terms: -0.25 + 0.0625 = -0.1875
0.0625 + 0.5x + x2 = -0.1875

Factor a perfect square on the left side:
(x + 0.25)(x + 0.25) = -0.1875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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