14x^2+37x+42=0

Solution for 14x^2+37x+42=0 equation:

Simplifying
14x2 + 37x + 42 = 0

Reorder the terms:
42 + 37x + 14x2 = 0

Solving
42 + 37x + 14x2 = 0

Solving for variable 'x'.

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

Divide each side by '14'.
3 + 2.642857143x + x2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + 2.642857143x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + 2.642857143x + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2.642857143x + x2 = 0 + -3
2.642857143x + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
2.642857143x + x2 = -3

The x term is 2.642857143x.  Take half its coefficient (1.321428572).
Square it (1.746173471) and add it to both sides.

Add '1.746173471' to each side of the equation.
2.642857143x + 1.746173471 + x2 = -3 + 1.746173471

Reorder the terms:
1.746173471 + 2.642857143x + x2 = -3 + 1.746173471

Combine like terms: -3 + 1.746173471 = -1.253826529
1.746173471 + 2.642857143x + x2 = -1.253826529

Factor a perfect square on the left side:
(x + 1.321428572)(x + 1.321428572) = -1.253826529

Can't calculate square root of the right side.

The solution to this equation could not be determined.