4x^2+9x+12=0

Solution for 4x^2+9x+12=0 equation:

Simplifying
4x2 + 9x + 12 = 0

Reorder the terms:
12 + 9x + 4x2 = 0

Solving
12 + 9x + 4x2 = 0

Solving for variable 'x'.

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

Divide each side by '4'.
3 + 2.25x + x2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + 2.25x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + 2.25x + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2.25x + x2 = 0 + -3
2.25x + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
2.25x + x2 = -3

The x term is 2.25x.  Take half its coefficient (1.125).
Square it (1.265625) and add it to both sides.

Add '1.265625' to each side of the equation.
2.25x + 1.265625 + x2 = -3 + 1.265625

Reorder the terms:
1.265625 + 2.25x + x2 = -3 + 1.265625

Combine like terms: -3 + 1.265625 = -1.734375
1.265625 + 2.25x + x2 = -1.734375

Factor a perfect square on the left side:
(x + 1.125)(x + 1.125) = -1.734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.