x^2-4x+6=0.46x+1

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Solution for x^2-4x+6=0.46x+1 equation: 


Simplifying
x2 + -4x + 6 = 0.46x + 1

Reorder the terms:
6 + -4x + x2 = 0.46x + 1

Reorder the terms:
6 + -4x + x2 = 1 + 0.46x

Solving
6 + -4x + x2 = 1 + 0.46x

Solving for variable 'x'.

Reorder the terms:
6 + -1 + -4x + -0.46x + x2 = 1 + 0.46x + -1 + -0.46x

Combine like terms: 6 + -1 = 5
5 + -4x + -0.46x + x2 = 1 + 0.46x + -1 + -0.46x

Combine like terms: -4x + -0.46x = -4.46x
5 + -4.46x + x2 = 1 + 0.46x + -1 + -0.46x

Reorder the terms:
5 + -4.46x + x2 = 1 + -1 + 0.46x + -0.46x

Combine like terms: 1 + -1 = 0
5 + -4.46x + x2 = 0 + 0.46x + -0.46x
5 + -4.46x + x2 = 0.46x + -0.46x

Combine like terms: 0.46x + -0.46x = 0.00
5 + -4.46x + x2 = 0.00

Begin completing the square.

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + -4.46x + -5 + x2 = 0.00 + -5

Reorder the terms:
5 + -5 + -4.46x + x2 = 0.00 + -5

Combine like terms: 5 + -5 = 0
0 + -4.46x + x2 = 0.00 + -5
-4.46x + x2 = 0.00 + -5

Combine like terms: 0.00 + -5 = -5
-4.46x + x2 = -5

The x term is -4.46x.  Take half its coefficient (-2.23).
Square it (4.9729) and add it to both sides.

Add '4.9729' to each side of the equation.
-4.46x + 4.9729 + x2 = -5 + 4.9729

Reorder the terms:
4.9729 + -4.46x + x2 = -5 + 4.9729

Combine like terms: -5 + 4.9729 = -0.0271
4.9729 + -4.46x + x2 = -0.0271

Factor a perfect square on the left side:
(x + -2.23)(x + -2.23) = -0.0271

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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