4y-3y(1+3y)=

Solution for 4y-3y(1+3y)= equation:

Simplifying
4y + -3y(1 + 3y) = 0
4y + (1 * -3y + 3y * -3y) = 0
4y + (-3y + -9y2) = 0

Combine like terms: 4y + -3y = 1y
1y + -9y2 = 0

Solving
1y + -9y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(1 + -9y) = 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 '(1 + -9y)' equal to zero and attempt to solve:

Simplifying
1 + -9y = 0

Solving
1 + -9y = 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 + -9y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -9y = 0 + -1
-9y = 0 + -1

Combine like terms: 0 + -1 = -1
-9y = -1

Divide each side by '-9'.
y = 0.1111111111

Simplifying
y = 0.1111111111
Solution
y = {0, 0.1111111111}