5y^2-44y-9y=0

Solution for 5y^2-44y-9y=0 equation:

Simplifying
5y2 + -44y + -9y = 0

Reorder the terms:
-44y + -9y + 5y2 = 0

Combine like terms: -44y + -9y = -53y
-53y + 5y2 = 0

Solving
-53y + 5y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(-53 + 5y) = 0

Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0
Subproblem 2
Set the factor '(-53 + 5y)' equal to zero and attempt to solve:

Simplifying
-53 + 5y = 0

Solving
-53 + 5y = 0

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

Add '53' to each side of the equation.
-53 + 53 + 5y = 0 + 53

Combine like terms: -53 + 53 = 0
0 + 5y = 0 + 53
5y = 0 + 53

Combine like terms: 0 + 53 = 53
5y = 53

Divide each side by '5'.
y = 10.6

Simplifying
y = 10.6
Solution
y = {0, 10.6}