2x^2+14x+45=0

Solution for 2x^2+14x+45=0 equation:

Simplifying
2x2 + 14x + 45 = 0

Reorder the terms:
45 + 14x + 2x2 = 0

Solving
45 + 14x + 2x2 = 0

Solving for variable 'x'.

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

Divide each side by '2'.
22.5 + 7x + x2 = 0

Move the constant term to the right:

Add '-22.5' to each side of the equation.
22.5 + 7x + -22.5 + x2 = 0 + -22.5

Reorder the terms:
22.5 + -22.5 + 7x + x2 = 0 + -22.5

Combine like terms: 22.5 + -22.5 = 0.0
0.0 + 7x + x2 = 0 + -22.5
7x + x2 = 0 + -22.5

Combine like terms: 0 + -22.5 = -22.5
7x + x2 = -22.5

The x term is 7x.  Take half its coefficient (3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
7x + 12.25 + x2 = -22.5 + 12.25

Reorder the terms:
12.25 + 7x + x2 = -22.5 + 12.25

Combine like terms: -22.5 + 12.25 = -10.25
12.25 + 7x + x2 = -10.25

Factor a perfect square on the left side:
(x + 3.5)(x + 3.5) = -10.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.