0=1.37x+1+x*x

Solution for 0=1.37x+1+x*x equation:

Simplifying
0 = 1.37x + 1 + x * x

Multiply x * x
0 = 1.37x + 1 + x2

Reorder the terms:
0 = 1 + 1.37x + x2

Solving
0 = 1 + 1.37x + x2

Solving for variable 'x'.

Combine like terms: 0 + -1 = -1
-1 + -1.37x + -1x2 = 1 + 1.37x + x2 + -1 + -1.37x + -1x2

Reorder the terms:
-1 + -1.37x + -1x2 = 1 + -1 + 1.37x + -1.37x + x2 + -1x2

Combine like terms: 1 + -1 = 0
-1 + -1.37x + -1x2 = 0 + 1.37x + -1.37x + x2 + -1x2
-1 + -1.37x + -1x2 = 1.37x + -1.37x + x2 + -1x2

Combine like terms: 1.37x + -1.37x = 0.00
-1 + -1.37x + -1x2 = 0.00 + x2 + -1x2
-1 + -1.37x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-1 + -1.37x + -1x2 = 0

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

Divide each side by '-1'.
1 + 1.37x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + 1.37x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + 1.37x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 1.37x + x2 = 0 + -1
1.37x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
1.37x + x2 = -1

The x term is 1.37x.  Take half its coefficient (0.685).
Square it (0.469225) and add it to both sides.

Add '0.469225' to each side of the equation.
1.37x + 0.469225 + x2 = -1 + 0.469225

Reorder the terms:
0.469225 + 1.37x + x2 = -1 + 0.469225

Combine like terms: -1 + 0.469225 = -0.530775
0.469225 + 1.37x + x2 = -0.530775

Factor a perfect square on the left side:
(x + 0.685)(x + 0.685) = -0.530775

Can't calculate square root of the right side.

The solution to this equation could not be determined.