4x^2+4=x+3

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


Simplifying
4x2 + 4 = x + 3

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

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

Solving
4 + 4x2 = 3 + x

Solving for variable 'x'.

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

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

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

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

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

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

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

Move the constant term to the right:

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

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

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

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

The x term is -0.25x.  Take half its coefficient (-0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
-0.25x + 0.015625 + x2 = -0.25 + 0.015625

Reorder the terms:
0.015625 + -0.25x + x2 = -0.25 + 0.015625

Combine like terms: -0.25 + 0.015625 = -0.234375
0.015625 + -0.25x + x2 = -0.234375

Factor a perfect square on the left side:
(x + -0.125)(x + -0.125) = -0.234375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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