y(y-2)=63

Solution for y(y-2)=63 equation:

Simplifying
y(y + -2) = 63

Reorder the terms:
y(-2 + y) = 63
(-2 * y + y * y) = 63
(-2y + y2) = 63

Solving
-2y + y2 = 63

Solving for variable 'y'.

Reorder the terms:
-63 + -2y + y2 = 63 + -63

Combine like terms: 63 + -63 = 0
-63 + -2y + y2 = 0

Factor a trinomial.
(-7 + -1y)(9 + -1y) = 0

Subproblem 1
Set the factor '(-7 + -1y)' equal to zero and attempt to solve:

Simplifying
-7 + -1y = 0

Solving
-7 + -1y = 0

Move all terms containing y to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + -1y = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1y = 0 + 7
-1y = 0 + 7

Combine like terms: 0 + 7 = 7
-1y = 7

Divide each side by '-1'.
y = -7

Simplifying
y = -7
Subproblem 2
Set the factor '(9 + -1y)' equal to zero and attempt to solve:

Simplifying
9 + -1y = 0

Solving
9 + -1y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + -1y = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1y = 0 + -9
-1y = 0 + -9

Combine like terms: 0 + -9 = -9
-1y = -9

Divide each side by '-1'.
y = 9

Simplifying
y = 9
Solution
y = {-7, 9}