y^2+8y+81=0

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Solution for y^2+8y+81=0 equation:


Simplifying
y2 + 8y + 81 = 0

Reorder the terms:
81 + 8y + y2 = 0

Solving
81 + 8y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-81' to each side of the equation.
81 + 8y + -81 + y2 = 0 + -81

Reorder the terms:
81 + -81 + 8y + y2 = 0 + -81

Combine like terms: 81 + -81 = 0
0 + 8y + y2 = 0 + -81
8y + y2 = 0 + -81

Combine like terms: 0 + -81 = -81
8y + y2 = -81

The y term is 8y.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8y + 16 + y2 = -81 + 16

Reorder the terms:
16 + 8y + y2 = -81 + 16

Combine like terms: -81 + 16 = -65
16 + 8y + y2 = -65

Factor a perfect square on the left side:
(y + 4)(y + 4) = -65

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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