y(y)+10y=264

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

Simplifying
y(y) + 10y = 264

Multiply y * y
y2 + 10y = 264

Reorder the terms:
10y + y2 = 264

Solving
10y + y2 = 264

Solving for variable 'y'.

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

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

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

Subproblem 1
Set the factor '(-22 + -1y)' equal to zero and attempt to solve:

Simplifying
-22 + -1y = 0

Solving
-22 + -1y = 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 + -1y = 0 + 22

Combine like terms: -22 + 22 = 0
0 + -1y = 0 + 22
-1y = 0 + 22

Combine like terms: 0 + 22 = 22
-1y = 22

Divide each side by '-1'.
y = -22

Simplifying
y = -22
Subproblem 2
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
Solution
y = {-22, 12}