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

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


Simplifying
4x2 + 4x + 1 = -4

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

Solving
1 + 4x + 4x2 = -4

Solving for variable 'x'.

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

Combine like terms: 1 + 4 = 5
5 + 4x + 4x2 = -4 + 4

Combine like terms: -4 + 4 = 0
5 + 4x + 4x2 = 0

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

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

Move the constant term to the right:

Add '-1.25' to each side of the equation.
1.25 + x + -1.25 + x2 = 0 + -1.25

Reorder the terms:
1.25 + -1.25 + x + x2 = 0 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + x + x2 = 0 + -1.25
x + x2 = 0 + -1.25

Combine like terms: 0 + -1.25 = -1.25
x + x2 = -1.25

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 = -1.25 + 0.25

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

Combine like terms: -1.25 + 0.25 = -1
1.25 + x2 = -1

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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