23x^2+23x+12=0

Solution for 23x^2+23x+12=0 equation:

Simplifying
23x2 + 23x + 12 = 0

Reorder the terms:
12 + 23x + 23x2 = 0

Solving
12 + 23x + 23x2 = 0

Solving for variable 'x'.

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

Divide each side by '23'.
0.5217391304 + x + x2 = 0

Move the constant term to the right:

Add '-0.5217391304' to each side of the equation.
0.5217391304 + x + -0.5217391304 + x2 = 0 + -0.5217391304

Reorder the terms:
0.5217391304 + -0.5217391304 + x + x2 = 0 + -0.5217391304

Combine like terms: 0.5217391304 + -0.5217391304 = 0.0000000000
0.0000000000 + x + x2 = 0 + -0.5217391304
x + x2 = 0 + -0.5217391304

Combine like terms: 0 + -0.5217391304 = -0.5217391304
x + x2 = -0.5217391304

The x term is x.  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.
 + 0.25 + x2 = -0.5217391304 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + x2 = -0.5217391304 + 0.25

Combine like terms: -0.5217391304 + 0.25 = -0.2717391304
1.25 + x2 = -0.2717391304

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -0.2717391304

Can't calculate square root of the right side.

The solution to this equation could not be determined.