7x^2+x-6=-42

Solution for 7x^2+x-6=-42 equation:

Simplifying
7x2 + x + -6 = -42

Reorder the terms:
-6 + x + 7x2 = -42

Solving
-6 + x + 7x2 = -42

Solving for variable 'x'.

Reorder the terms:
-6 + 42 + x + 7x2 = -42 + 42

Combine like terms: -6 + 42 = 36
36 + x + 7x2 = -42 + 42

Combine like terms: -42 + 42 = 0
36 + x + 7x2 = 0

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

Divide each side by '7'.
5.142857143 + 0.1428571429x + x2 = 0

Move the constant term to the right:

Add '-5.142857143' to each side of the equation.
5.142857143 + 0.1428571429x + -5.142857143 + x2 = 0 + -5.142857143

Reorder the terms:
5.142857143 + -5.142857143 + 0.1428571429x + x2 = 0 + -5.142857143

Combine like terms: 5.142857143 + -5.142857143 = 0.000000000
0.000000000 + 0.1428571429x + x2 = 0 + -5.142857143
0.1428571429x + x2 = 0 + -5.142857143

Combine like terms: 0 + -5.142857143 = -5.142857143
0.1428571429x + x2 = -5.142857143

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.
0.1428571429x + 0.25 + x2 = -5.142857143 + 0.25

Reorder the terms:
0.25 + 0.1428571429x + x2 = -5.142857143 + 0.25

Combine like terms: -5.142857143 + 0.25 = -4.892857143
0.25 + 0.1428571429x + x2 = -4.892857143

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -4.892857143

Can't calculate square root of the right side.

The solution to this equation could not be determined.