4*x^2+25*x+46=4*x+1

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Solution for 4*x^2+25*x+46=4*x+1 equation: 


Simplifying
4x2 + 25x + 46 = 4x + 1

Reorder the terms:
46 + 25x + 4x2 = 4x + 1

Reorder the terms:
46 + 25x + 4x2 = 1 + 4x

Solving
46 + 25x + 4x2 = 1 + 4x

Solving for variable 'x'.

Reorder the terms:
46 + -1 + 25x + -4x + 4x2 = 1 + 4x + -1 + -4x

Combine like terms: 46 + -1 = 45
45 + 25x + -4x + 4x2 = 1 + 4x + -1 + -4x

Combine like terms: 25x + -4x = 21x
45 + 21x + 4x2 = 1 + 4x + -1 + -4x

Reorder the terms:
45 + 21x + 4x2 = 1 + -1 + 4x + -4x

Combine like terms: 1 + -1 = 0
45 + 21x + 4x2 = 0 + 4x + -4x
45 + 21x + 4x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
45 + 21x + 4x2 = 0

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

Divide each side by '4'.
11.25 + 5.25x + x2 = 0

Move the constant term to the right:

Add '-11.25' to each side of the equation.
11.25 + 5.25x + -11.25 + x2 = 0 + -11.25

Reorder the terms:
11.25 + -11.25 + 5.25x + x2 = 0 + -11.25

Combine like terms: 11.25 + -11.25 = 0.00
0.00 + 5.25x + x2 = 0 + -11.25
5.25x + x2 = 0 + -11.25

Combine like terms: 0 + -11.25 = -11.25
5.25x + x2 = -11.25

The x term is 5.25x.  Take half its coefficient (2.625).
Square it (6.890625) and add it to both sides.

Add '6.890625' to each side of the equation.
5.25x + 6.890625 + x2 = -11.25 + 6.890625

Reorder the terms:
6.890625 + 5.25x + x2 = -11.25 + 6.890625

Combine like terms: -11.25 + 6.890625 = -4.359375
6.890625 + 5.25x + x2 = -4.359375

Factor a perfect square on the left side:
(x + 2.625)(x + 2.625) = -4.359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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