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

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

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

Reorder the terms:
(4 + 3y)(3y + -3) = 0

Reorder the terms:
(4 + 3y)(-3 + 3y) = 0

Multiply (4 + 3y) * (-3 + 3y)
(4(-3 + 3y) + 3y * (-3 + 3y)) = 0
((-3 * 4 + 3y * 4) + 3y * (-3 + 3y)) = 0
((-12 + 12y) + 3y * (-3 + 3y)) = 0
(-12 + 12y + (-3 * 3y + 3y * 3y)) = 0
(-12 + 12y + (-9y + 9y2)) = 0

Combine like terms: 12y + -9y = 3y
(-12 + 3y + 9y2) = 0

Solving
-12 + 3y + 9y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-4 + y + 3y2) = 0

Factor a trinomial.
3((-4 + -3y)(1 + -1y)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-4 + -3y)' equal to zero and attempt to solve:

Simplifying
-4 + -3y = 0

Solving
-4 + -3y = 0

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

Add '4' to each side of the equation.
-4 + 4 + -3y = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3y = 0 + 4
-3y = 0 + 4

Combine like terms: 0 + 4 = 4
-3y = 4

Divide each side by '-3'.
y = -1.333333333

Simplifying
y = -1.333333333
Subproblem 2
Set the factor '(1 + -1y)' equal to zero and attempt to solve:

Simplifying
1 + -1y = 0

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

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

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

Divide each side by '-1'.
y = 1

Simplifying
y = 1
Solution
y = {-1.333333333, 1}