0=-7x^2+3x-42

Solution for 0=-7x^2+3x-42 equation:

Simplifying
0 = -7x2 + 3x + -42

Reorder the terms:
0 = -42 + 3x + -7x2

Solving
0 = -42 + 3x + -7x2

Solving for variable 'x'.

Combine like terms: 0 + 42 = 42
42 + -3x + 7x2 = -42 + 3x + -7x2 + 42 + -3x + 7x2

Reorder the terms:
42 + -3x + 7x2 = -42 + 42 + 3x + -3x + -7x2 + 7x2

Combine like terms: -42 + 42 = 0
42 + -3x + 7x2 = 0 + 3x + -3x + -7x2 + 7x2
42 + -3x + 7x2 = 3x + -3x + -7x2 + 7x2

Combine like terms: 3x + -3x = 0
42 + -3x + 7x2 = 0 + -7x2 + 7x2
42 + -3x + 7x2 = -7x2 + 7x2

Combine like terms: -7x2 + 7x2 = 0
42 + -3x + 7x2 = 0

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

Divide each side by '7'.
6 + -0.4285714286x + x2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -0.4285714286x + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + -0.4285714286x + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -0.4285714286x + x2 = 0 + -6
-0.4285714286x + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
-0.4285714286x + x2 = -6

The x term is -0.4285714286x.  Take half its coefficient (-0.2142857143).
Square it (0.04591836735) and add it to both sides.

Add '0.04591836735' to each side of the equation.
-0.4285714286x + 0.04591836735 + x2 = -6 + 0.04591836735

Reorder the terms:
0.04591836735 + -0.4285714286x + x2 = -6 + 0.04591836735

Combine like terms: -6 + 0.04591836735 = -5.95408163265
0.04591836735 + -0.4285714286x + x2 = -5.95408163265

Factor a perfect square on the left side:
(x + -0.2142857143)(x + -0.2142857143) = -5.95408163265

Can't calculate square root of the right side.

The solution to this equation could not be determined.