6(y-5)(2y-1)=

Solution for 6(y-5)(2y-1)= equation:

Simplifying
6(y + -5)(2y + -1) = 0

Reorder the terms:
6(-5 + y)(2y + -1) = 0

Reorder the terms:
6(-5 + y)(-1 + 2y) = 0

Multiply (-5 + y) * (-1 + 2y)
6(-5(-1 + 2y) + y(-1 + 2y)) = 0
6((-1 * -5 + 2y * -5) + y(-1 + 2y)) = 0
6((5 + -10y) + y(-1 + 2y)) = 0
6(5 + -10y + (-1 * y + 2y * y)) = 0
6(5 + -10y + (-1y + 2y2)) = 0

Combine like terms: -10y + -1y = -11y
6(5 + -11y + 2y2) = 0
(5 * 6 + -11y * 6 + 2y2 * 6) = 0
(30 + -66y + 12y2) = 0

Solving
30 + -66y + 12y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '6'.
6(5 + -11y + 2y2) = 0

Factor a trinomial.
6((1 + -2y)(5 + -1y)) = 0

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

Simplifying
1 + -2y = 0

Solving
1 + -2y = 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 + -2y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2y = 0 + -1
-2y = 0 + -1

Combine like terms: 0 + -1 = -1
-2y = -1

Divide each side by '-2'.
y = 0.5

Simplifying
y = 0.5
Subproblem 2
Set the factor '(5 + -1y)' equal to zero and attempt to solve:

Simplifying
5 + -1y = 0

Solving
5 + -1y = 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 + -1y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1y = 0 + -5
-1y = 0 + -5

Combine like terms: 0 + -5 = -5
-1y = -5

Divide each side by '-1'.
y = 5

Simplifying
y = 5
Solution
y = {0.5, 5}