4x^2+4x+4=x+3

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Solution for 4x^2+4x+4=x+3 equation:


Simplifying
4x2 + 4x + 4 = x + 3

Reorder the terms:
4 + 4x + 4x2 = x + 3

Reorder the terms:
4 + 4x + 4x2 = 3 + x

Solving
4 + 4x + 4x2 = 3 + x

Solving for variable 'x'.

Reorder the terms:
4 + -3 + 4x + -1x + 4x2 = 3 + x + -3 + -1x

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

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

Reorder the terms:
1 + 3x + 4x2 = 3 + -3 + x + -1x

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

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

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

Divide each side by '4'.
0.25 + 0.75x + x2 = 0

Move the constant term to the right:

Add '-0.25' to each side of the equation.
0.25 + 0.75x + -0.25 + x2 = 0 + -0.25

Reorder the terms:
0.25 + -0.25 + 0.75x + x2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + 0.75x + x2 = 0 + -0.25
0.75x + x2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
0.75x + x2 = -0.25

The x term is 0.75x.  Take half its coefficient (0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
0.75x + 0.140625 + x2 = -0.25 + 0.140625

Reorder the terms:
0.140625 + 0.75x + x2 = -0.25 + 0.140625

Combine like terms: -0.25 + 0.140625 = -0.109375
0.140625 + 0.75x + x2 = -0.109375

Factor a perfect square on the left side:
(x + 0.375)(x + 0.375) = -0.109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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