y^2-6y+42=0

Solution for y^2-6y+42=0 equation:

Simplifying
y2 + -6y + 42 = 0

Reorder the terms:
42 + -6y + y2 = 0

Solving
42 + -6y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-42' to each side of the equation.
42 + -6y + -42 + y2 = 0 + -42

Reorder the terms:
42 + -42 + -6y + y2 = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -6y + y2 = 0 + -42
-6y + y2 = 0 + -42

Combine like terms: 0 + -42 = -42
-6y + y2 = -42

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 = -42 + 9

Reorder the terms:
9 + -6y + y2 = -42 + 9

Combine like terms: -42 + 9 = -33
9 + -6y + y2 = -33

Factor a perfect square on the left side:
(y + -3)(y + -3) = -33

Can't calculate square root of the right side.

The solution to this equation could not be determined.