(3y+5)(6y-1)=

Solution for (3y+5)(6y-1)= equation:

Simplifying
(3y + 5)(6y + -1) = 0

Reorder the terms:
(5 + 3y)(6y + -1) = 0

Reorder the terms:
(5 + 3y)(-1 + 6y) = 0

Multiply (5 + 3y) * (-1 + 6y)
(5(-1 + 6y) + 3y * (-1 + 6y)) = 0
((-1 * 5 + 6y * 5) + 3y * (-1 + 6y)) = 0
((-5 + 30y) + 3y * (-1 + 6y)) = 0
(-5 + 30y + (-1 * 3y + 6y * 3y)) = 0
(-5 + 30y + (-3y + 18y2)) = 0

Combine like terms: 30y + -3y = 27y
(-5 + 27y + 18y2) = 0

Solving
-5 + 27y + 18y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-5 + -3y)(1 + -6y) = 0

Subproblem 1
Set the factor '(-5 + -3y)' equal to zero and attempt to solve:

Simplifying
-5 + -3y = 0

Solving
-5 + -3y = 0

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

Add '5' to each side of the equation.
-5 + 5 + -3y = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -3y = 0 + 5
-3y = 0 + 5

Combine like terms: 0 + 5 = 5
-3y = 5

Divide each side by '-3'.
y = -1.666666667

Simplifying
y = -1.666666667
Subproblem 2
Set the factor '(1 + -6y)' equal to zero and attempt to solve:

Simplifying
1 + -6y = 0

Solving
1 + -6y = 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 + -6y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6y = 0 + -1
-6y = 0 + -1

Combine like terms: 0 + -1 = -1
-6y = -1

Divide each side by '-6'.
y = 0.1666666667

Simplifying
y = 0.1666666667
Solution
y = {-1.666666667, 0.1666666667}