y^2-8y=-18

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Solution for y^2-8y=-18 equation:


Simplifying
y2 + -8y = -18

Reorder the terms:
-8y + y2 = -18

Solving
-8y + y2 = -18

Solving for variable 'y'.

Reorder the terms:
18 + -8y + y2 = -18 + 18

Combine like terms: -18 + 18 = 0
18 + -8y + y2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-18' to each side of the equation.
18 + -8y + -18 + y2 = 0 + -18

Reorder the terms:
18 + -18 + -8y + y2 = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -8y + y2 = 0 + -18
-8y + y2 = 0 + -18

Combine like terms: 0 + -18 = -18
-8y + y2 = -18

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 = -18 + 16

Reorder the terms:
16 + -8y + y2 = -18 + 16

Combine like terms: -18 + 16 = -2
16 + -8y + y2 = -2

Factor a perfect square on the left side:
(y + -4)(y + -4) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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