264=(10+y)y

Solution for 264=(10+y)y equation:

Simplifying
264 = (10 + y) * y

Reorder the terms for easier multiplication:
264 = y(10 + y)
264 = (10 * y + y * y)
264 = (10y + y2)

Solving
264 = 10y + y2

Solving for variable 'y'.

Reorder the terms:
264 + -10y + -1y2 = 10y + -10y + y2 + -1y2

Combine like terms: 10y + -10y = 0
264 + -10y + -1y2 = 0 + y2 + -1y2
264 + -10y + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
264 + -10y + -1y2 = 0

Factor a trinomial.
(12 + -1y)(22 + y) = 0

Subproblem 1
Set the factor '(12 + -1y)' equal to zero and attempt to solve:

Simplifying
12 + -1y = 0

Solving
12 + -1y = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1y = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1y = 0 + -12
-1y = 0 + -12

Combine like terms: 0 + -12 = -12
-1y = -12

Divide each side by '-1'.
y = 12

Simplifying
y = 12
Subproblem 2
Set the factor '(22 + y)' equal to zero and attempt to solve:

Simplifying
22 + y = 0

Solving
22 + y = 0

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

Add '-22' to each side of the equation.
22 + -22 + y = 0 + -22

Combine like terms: 22 + -22 = 0
0 + y = 0 + -22
y = 0 + -22

Combine like terms: 0 + -22 = -22
y = -22

Simplifying
y = -22
Solution
y = {12, -22}