2x^2+30x+189=0

Solution for 2x^2+30x+189=0 equation:

Simplifying
2x2 + 30x + 189 = 0

Reorder the terms:
189 + 30x + 2x2 = 0

Solving
189 + 30x + 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'.
94.5 + 15x + x2 = 0

Move the constant term to the right:

Add '-94.5' to each side of the equation.
94.5 + 15x + -94.5 + x2 = 0 + -94.5

Reorder the terms:
94.5 + -94.5 + 15x + x2 = 0 + -94.5

Combine like terms: 94.5 + -94.5 = 0.0
0.0 + 15x + x2 = 0 + -94.5
15x + x2 = 0 + -94.5

Combine like terms: 0 + -94.5 = -94.5
15x + x2 = -94.5

The x term is 15x.  Take half its coefficient (7.5).
Square it (56.25) and add it to both sides.

Add '56.25' to each side of the equation.
15x + 56.25 + x2 = -94.5 + 56.25

Reorder the terms:
56.25 + 15x + x2 = -94.5 + 56.25

Combine like terms: -94.5 + 56.25 = -38.25
56.25 + 15x + x2 = -38.25

Factor a perfect square on the left side:
(x + 7.5)(x + 7.5) = -38.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.