(y-3)(9y-6)=

Solution for (y-3)(9y-6)= equation:

Simplifying
(y + -3)(9y + -6) = 0

Reorder the terms:
(-3 + y)(9y + -6) = 0

Reorder the terms:
(-3 + y)(-6 + 9y) = 0

Multiply (-3 + y) * (-6 + 9y)
(-3(-6 + 9y) + y(-6 + 9y)) = 0
((-6 * -3 + 9y * -3) + y(-6 + 9y)) = 0
((18 + -27y) + y(-6 + 9y)) = 0
(18 + -27y + (-6 * y + 9y * y)) = 0
(18 + -27y + (-6y + 9y2)) = 0

Combine like terms: -27y + -6y = -33y
(18 + -33y + 9y2) = 0

Solving
18 + -33y + 9y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3'.
3(6 + -11y + 3y2) = 0

Factor a trinomial.
3((2 + -3y)(3 + -1y)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(2 + -3y)' equal to zero and attempt to solve:

Simplifying
2 + -3y = 0

Solving
2 + -3y = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3y = 0 + -2
-3y = 0 + -2

Combine like terms: 0 + -2 = -2
-3y = -2

Divide each side by '-3'.
y = 0.6666666667

Simplifying
y = 0.6666666667
Subproblem 2
Set the factor '(3 + -1y)' equal to zero and attempt to solve:

Simplifying
3 + -1y = 0

Solving
3 + -1y = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1y = 0 + -3
-1y = 0 + -3

Combine like terms: 0 + -3 = -3
-1y = -3

Divide each side by '-1'.
y = 3

Simplifying
y = 3
Solution
y = {0.6666666667, 3}