3y^2+24y-8y-64=

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Solution for 3y^2+24y-8y-64= equation: 


Simplifying
3y2 + 24y + -8y + -64 = 0

Reorder the terms:
-64 + 24y + -8y + 3y2 = 0

Combine like terms: 24y + -8y = 16y
-64 + 16y + 3y2 = 0

Solving
-64 + 16y + 3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-8 + -1y)(8 + -3y) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(8 + -3y)' equal to zero and attempt to solve:

Simplifying
8 + -3y = 0

Solving
8 + -3y = 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 + -3y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3y = 0 + -8
-3y = 0 + -8

Combine like terms: 0 + -8 = -8
-3y = -8

Divide each side by '-3'.
y = 2.666666667

Simplifying
y = 2.666666667
Solution
y = {-8, 2.666666667}

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