2y^2+26y+144=0

Solution for 2y^2+26y+144=0 equation:

Simplifying
2y2 + 26y + 144 = 0

Reorder the terms:
144 + 26y + 2y2 = 0

Solving
144 + 26y + 2y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(72 + 13y + y2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(72 + 13y + y2)' equal to zero and attempt to solve:

Simplifying
72 + 13y + y2 = 0

Solving
72 + 13y + y2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-72' to each side of the equation.
72 + 13y + -72 + y2 = 0 + -72

Reorder the terms:
72 + -72 + 13y + y2 = 0 + -72

Combine like terms: 72 + -72 = 0
0 + 13y + y2 = 0 + -72
13y + y2 = 0 + -72

Combine like terms: 0 + -72 = -72
13y + y2 = -72

The y term is 13y.  Take half its coefficient (6.5).
Square it (42.25) and add it to both sides.

Add '42.25' to each side of the equation.
13y + 42.25 + y2 = -72 + 42.25

Reorder the terms:
42.25 + 13y + y2 = -72 + 42.25

Combine like terms: -72 + 42.25 = -29.75
42.25 + 13y + y2 = -29.75

Factor a perfect square on the left side:
(y + 6.5)(y + 6.5) = -29.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.