(y^2+6y+144)=0

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Solution for (y^2+6y+144)=0 equation:


Simplifying
(y2 + 6y + 144) = 0

Reorder the terms:
(144 + 6y + y2) = 0

Remove parenthesis around (144 + 6y + y2)
144 + 6y + y2 = 0

Solving
144 + 6y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-144' to each side of the equation.
144 + 6y + -144 + y2 = 0 + -144

Reorder the terms:
144 + -144 + 6y + y2 = 0 + -144

Combine like terms: 144 + -144 = 0
0 + 6y + y2 = 0 + -144
6y + y2 = 0 + -144

Combine like terms: 0 + -144 = -144
6y + y2 = -144

The y term is 6y.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6y + 9 + y2 = -144 + 9

Reorder the terms:
9 + 6y + y2 = -144 + 9

Combine like terms: -144 + 9 = -135
9 + 6y + y2 = -135

Factor a perfect square on the left side:
(y + 3)(y + 3) = -135

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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