3x=x^2+3

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

Simplifying
3x = x2 + 3

Reorder the terms:
3x = 3 + x2

Solving
3x = 3 + x2

Solving for variable 'x'.

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

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

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

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

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
3 + -3x + x2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -3x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + -3x + x2 = 0 + -3

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

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

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -3 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -3 + 2.25

Combine like terms: -3 + 2.25 = -0.75
2.25 + -3x + x2 = -0.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -0.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.