7(y-3)(9y-1)=

Solution for 7(y-3)(9y-1)= equation:

Simplifying
7(y + -3)(9y + -1) = 0

Reorder the terms:
7(-3 + y)(9y + -1) = 0

Reorder the terms:
7(-3 + y)(-1 + 9y) = 0

Multiply (-3 + y) * (-1 + 9y)
7(-3(-1 + 9y) + y(-1 + 9y)) = 0
7((-1 * -3 + 9y * -3) + y(-1 + 9y)) = 0
7((3 + -27y) + y(-1 + 9y)) = 0
7(3 + -27y + (-1 * y + 9y * y)) = 0
7(3 + -27y + (-1y + 9y2)) = 0

Combine like terms: -27y + -1y = -28y
7(3 + -28y + 9y2) = 0
(3 * 7 + -28y * 7 + 9y2 * 7) = 0
(21 + -196y + 63y2) = 0

Solving
21 + -196y + 63y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '7'.
7(3 + -28y + 9y2) = 0

Factor a trinomial.
7((1 + -9y)(3 + -1y)) = 0

Ignore the factor 7.
Subproblem 1
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
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 = {0.1111111111, 3}