7x^2+17x+42=0

Solution for 7x^2+17x+42=0 equation:

Simplifying
7x2 + 17x + 42 = 0

Reorder the terms:
42 + 17x + 7x2 = 0

Solving
42 + 17x + 7x2 = 0

Solving for variable 'x'.

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

Divide each side by '7'.
6 + 2.428571429x + x2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + 2.428571429x + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + 2.428571429x + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 2.428571429x + x2 = 0 + -6
2.428571429x + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
2.428571429x + x2 = -6

The x term is 2.428571429x.  Take half its coefficient (1.214285715).
Square it (1.474489798) and add it to both sides.

Add '1.474489798' to each side of the equation.
2.428571429x + 1.474489798 + x2 = -6 + 1.474489798

Reorder the terms:
1.474489798 + 2.428571429x + x2 = -6 + 1.474489798

Combine like terms: -6 + 1.474489798 = -4.525510202
1.474489798 + 2.428571429x + x2 = -4.525510202

Factor a perfect square on the left side:
(x + 1.214285715)(x + 1.214285715) = -4.525510202

Can't calculate square root of the right side.

The solution to this equation could not be determined.