y^2=-4y-10

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Solution for y^2=-4y-10 equation:


Simplifying
y2 = -4y + -10

Reorder the terms:
y2 = -10 + -4y

Solving
y2 = -10 + -4y

Solving for variable 'y'.

Reorder the terms:
10 + 4y + y2 = -10 + -4y + 10 + 4y

Reorder the terms:
10 + 4y + y2 = -10 + 10 + -4y + 4y

Combine like terms: -10 + 10 = 0
10 + 4y + y2 = 0 + -4y + 4y
10 + 4y + y2 = -4y + 4y

Combine like terms: -4y + 4y = 0
10 + 4y + y2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + 4y + -10 + y2 = 0 + -10

Reorder the terms:
10 + -10 + 4y + y2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 4y + y2 = 0 + -10
4y + y2 = 0 + -10

Combine like terms: 0 + -10 = -10
4y + y2 = -10

The y term is 4y.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4y + 4 + y2 = -10 + 4

Reorder the terms:
4 + 4y + y2 = -10 + 4

Combine like terms: -10 + 4 = -6
4 + 4y + y2 = -6

Factor a perfect square on the left side:
(y + 2)(y + 2) = -6

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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