y^2-6y=-13

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Solution for y^2-6y=-13 equation:


Simplifying
y2 + -6y = -13

Reorder the terms:
-6y + y2 = -13

Solving
-6y + y2 = -13

Solving for variable 'y'.

Reorder the terms:
13 + -6y + y2 = -13 + 13

Combine like terms: -13 + 13 = 0
13 + -6y + y2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-13' to each side of the equation.
13 + -6y + -13 + y2 = 0 + -13

Reorder the terms:
13 + -13 + -6y + y2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -6y + y2 = 0 + -13
-6y + y2 = 0 + -13

Combine like terms: 0 + -13 = -13
-6y + y2 = -13

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 = -13 + 9

Reorder the terms:
9 + -6y + y2 = -13 + 9

Combine like terms: -13 + 9 = -4
9 + -6y + y2 = -4

Factor a perfect square on the left side:
(y + -3)(y + -3) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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