y(y-18)=63

Solution for y(y-18)=63 equation:

Simplifying
y(y + -18) = 63

Reorder the terms:
y(-18 + y) = 63
(-18 * y + y * y) = 63
(-18y + y2) = 63

Solving
-18y + y2 = 63

Solving for variable 'y'.

Reorder the terms:
-63 + -18y + y2 = 63 + -63

Combine like terms: 63 + -63 = 0
-63 + -18y + y2 = 0

Factor a trinomial.
(-3 + -1y)(21 + -1y) = 0

Subproblem 1
Set the factor '(-3 + -1y)' equal to zero and attempt to solve:

Simplifying
-3 + -1y = 0

Solving
-3 + -1y = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1y = 0 + 3
-1y = 0 + 3

Combine like terms: 0 + 3 = 3
-1y = 3

Divide each side by '-1'.
y = -3

Simplifying
y = -3
Subproblem 2
Set the factor '(21 + -1y)' equal to zero and attempt to solve:

Simplifying
21 + -1y = 0

Solving
21 + -1y = 0

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

Add '-21' to each side of the equation.
21 + -21 + -1y = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -1y = 0 + -21
-1y = 0 + -21

Combine like terms: 0 + -21 = -21
-1y = -21

Divide each side by '-1'.
y = 21

Simplifying
y = 21
Solution
y = {-3, 21}