10x^2+17x+12=0

Solution for 10x^2+17x+12=0 equation:

Simplifying
10x2 + 17x + 12 = 0

Reorder the terms:
12 + 17x + 10x2 = 0

Solving
12 + 17x + 10x2 = 0

Solving for variable 'x'.

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

Divide each side by '10'.
1.2 + 1.7x + x2 = 0

Move the constant term to the right:

Add '-1.2' to each side of the equation.
1.2 + 1.7x + -1.2 + x2 = 0 + -1.2

Reorder the terms:
1.2 + -1.2 + 1.7x + x2 = 0 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + 1.7x + x2 = 0 + -1.2
1.7x + x2 = 0 + -1.2

Combine like terms: 0 + -1.2 = -1.2
1.7x + x2 = -1.2

The x term is 1.7x.  Take half its coefficient (0.85).
Square it (0.7225) and add it to both sides.

Add '0.7225' to each side of the equation.
1.7x + 0.7225 + x2 = -1.2 + 0.7225

Reorder the terms:
0.7225 + 1.7x + x2 = -1.2 + 0.7225

Combine like terms: -1.2 + 0.7225 = -0.4775
0.7225 + 1.7x + x2 = -0.4775

Factor a perfect square on the left side:
(x + 0.85)(x + 0.85) = -0.4775

Can't calculate square root of the right side.

The solution to this equation could not be determined.