x^2+3x+5=2x-1

Solution for x^2+3x+5=2x-1 equation:

Simplifying
x2 + 3x + 5 = 2x + -1

Reorder the terms:
5 + 3x + x2 = 2x + -1

Reorder the terms:
5 + 3x + x2 = -1 + 2x

Solving
5 + 3x + x2 = -1 + 2x

Solving for variable 'x'.

Reorder the terms:
5 + 1 + 3x + -2x + x2 = -1 + 2x + 1 + -2x

Combine like terms: 5 + 1 = 6
6 + 3x + -2x + x2 = -1 + 2x + 1 + -2x

Combine like terms: 3x + -2x = 1x
6 + 1x + x2 = -1 + 2x + 1 + -2x

Reorder the terms:
6 + 1x + x2 = -1 + 1 + 2x + -2x

Combine like terms: -1 + 1 = 0
6 + 1x + x2 = 0 + 2x + -2x
6 + 1x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + 1x + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + 1x + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 1x + x2 = 0 + -6
1x + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
1x + x2 = -6

The x term is 1x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
x + 0.25 + x2 = -6 + 0.25

Reorder the terms:
0.25 + x + x2 = -6 + 0.25

Combine like terms: -6 + 0.25 = -5.75
0.25 + x + x2 = -5.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -5.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.