6y(4y-3)+15y=

Solution for 6y(4y-3)+15y= equation:

Simplifying
6y(4y + -3) + 15y = 0

Reorder the terms:
6y(-3 + 4y) + 15y = 0
(-3 * 6y + 4y * 6y) + 15y = 0
(-18y + 24y2) + 15y = 0

Reorder the terms:
-18y + 15y + 24y2 = 0

Combine like terms: -18y + 15y = -3y
-3y + 24y2 = 0

Solving
-3y + 24y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3y'.
3y(-1 + 8y) = 0

Ignore the factor 3.
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 + 8y)' equal to zero and attempt to solve:

Simplifying
-1 + 8y = 0

Solving
-1 + 8y = 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 + 8y = 0 + 1

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

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

Divide each side by '8'.
y = 0.125

Simplifying
y = 0.125
Solution
y = {0, 0.125}