2x^2+x+135=0

Solution for 2x^2+x+135=0 equation:

Simplifying
2x2 + x + 135 = 0

Reorder the terms:
135 + x + 2x2 = 0

Solving
135 + x + 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'.
67.5 + 0.5x + x2 = 0

Move the constant term to the right:

Add '-67.5' to each side of the equation.
67.5 + 0.5x + -67.5 + x2 = 0 + -67.5

Reorder the terms:
67.5 + -67.5 + 0.5x + x2 = 0 + -67.5

Combine like terms: 67.5 + -67.5 = 0.0
0.0 + 0.5x + x2 = 0 + -67.5
0.5x + x2 = 0 + -67.5

Combine like terms: 0 + -67.5 = -67.5
0.5x + x2 = -67.5

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.
0.5x + 0.25 + x2 = -67.5 + 0.25

Reorder the terms:
0.25 + 0.5x + x2 = -67.5 + 0.25

Combine like terms: -67.5 + 0.25 = -67.25
0.25 + 0.5x + x2 = -67.25

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -67.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.