12x^2+21x+13=0

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Solution for 12x^2+21x+13=0 equation:


Simplifying
12x2 + 21x + 13 = 0

Reorder the terms:
13 + 21x + 12x2 = 0

Solving
13 + 21x + 12x2 = 0

Solving for variable 'x'.

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

Divide each side by '12'.
1.083333333 + 1.75x + x2 = 0

Move the constant term to the right:

Add '-1.083333333' to each side of the equation.
1.083333333 + 1.75x + -1.083333333 + x2 = 0 + -1.083333333

Reorder the terms:
1.083333333 + -1.083333333 + 1.75x + x2 = 0 + -1.083333333

Combine like terms: 1.083333333 + -1.083333333 = 0.000000000
0.000000000 + 1.75x + x2 = 0 + -1.083333333
1.75x + x2 = 0 + -1.083333333

Combine like terms: 0 + -1.083333333 = -1.083333333
1.75x + x2 = -1.083333333

The x term is 1.75x.  Take half its coefficient (0.875).
Square it (0.765625) and add it to both sides.

Add '0.765625' to each side of the equation.
1.75x + 0.765625 + x2 = -1.083333333 + 0.765625

Reorder the terms:
0.765625 + 1.75x + x2 = -1.083333333 + 0.765625

Combine like terms: -1.083333333 + 0.765625 = -0.317708333
0.765625 + 1.75x + x2 = -0.317708333

Factor a perfect square on the left side:
(x + 0.875)(x + 0.875) = -0.317708333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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