y(12y+24)=960

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Solution for y(12y+24)=960 equation: 


Simplifying
y(12y + 24) = 960

Reorder the terms:
y(24 + 12y) = 960
(24 * y + 12y * y) = 960
(24y + 12y2) = 960

Solving
24y + 12y2 = 960

Solving for variable 'y'.

Reorder the terms:
-960 + 24y + 12y2 = 960 + -960

Combine like terms: 960 + -960 = 0
-960 + 24y + 12y2 = 0

Factor out the Greatest Common Factor (GCF), '12'.
12(-80 + 2y + y2) = 0

Factor a trinomial.
12((-10 + -1y)(8 + -1y)) = 0

Ignore the factor 12.

Subproblem 1
Set the factor '(-10 + -1y)' equal to zero and attempt to solve:

Simplifying
-10 + -1y = 0

Solving
-10 + -1y = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1y = 0 + 10

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

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

Divide each side by '-1'.
y = -10

Simplifying
y = -10

Subproblem 2
Set the factor '(8 + -1y)' equal to zero and attempt to solve:

Simplifying
8 + -1y = 0

Solving
8 + -1y = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1y = 0 + -8
-1y = 0 + -8

Combine like terms: 0 + -8 = -8
-1y = -8

Divide each side by '-1'.
y = 8

Simplifying
y = 8
Solution
y = {-10, 8}

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