6y(8y-4)+22y=

Solution for 6y(8y-4)+22y= equation:

Simplifying
6y(8y + -4) + 22y = 0

Reorder the terms:
6y(-4 + 8y) + 22y = 0
(-4 * 6y + 8y * 6y) + 22y = 0
(-24y + 48y2) + 22y = 0

Reorder the terms:
-24y + 22y + 48y2 = 0

Combine like terms: -24y + 22y = -2y
-2y + 48y2 = 0

Solving
-2y + 48y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2y'.
2y(-1 + 24y) = 0

Ignore the factor 2.
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 '(-1 + 24y)' equal to zero and attempt to solve:

Simplifying
-1 + 24y = 0

Solving
-1 + 24y = 0

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

Add '1' to each side of the equation.
-1 + 1 + 24y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 24y = 0 + 1
24y = 0 + 1

Combine like terms: 0 + 1 = 1
24y = 1

Divide each side by '24'.
y = 0.04166666667

Simplifying
y = 0.04166666667
Solution
y = {0, 0.04166666667}