5(y-3)(4y-1)=

Solution for 5(y-3)(4y-1)= equation:

Simplifying
5(y + -3)(4y + -1) = 0

Reorder the terms:
5(-3 + y)(4y + -1) = 0

Reorder the terms:
5(-3 + y)(-1 + 4y) = 0

Multiply (-3 + y) * (-1 + 4y)
5(-3(-1 + 4y) + y(-1 + 4y)) = 0
5((-1 * -3 + 4y * -3) + y(-1 + 4y)) = 0
5((3 + -12y) + y(-1 + 4y)) = 0
5(3 + -12y + (-1 * y + 4y * y)) = 0
5(3 + -12y + (-1y + 4y2)) = 0

Combine like terms: -12y + -1y = -13y
5(3 + -13y + 4y2) = 0
(3 * 5 + -13y * 5 + 4y2 * 5) = 0
(15 + -65y + 20y2) = 0

Solving
15 + -65y + 20y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '5'.
5(3 + -13y + 4y2) = 0

Factor a trinomial.
5((1 + -4y)(3 + -1y)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(1 + -4y)' equal to zero and attempt to solve:

Simplifying
1 + -4y = 0

Solving
1 + -4y = 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 + -4y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4y = 0 + -1
-4y = 0 + -1

Combine like terms: 0 + -1 = -1
-4y = -1

Divide each side by '-4'.
y = 0.25

Simplifying
y = 0.25
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 = {0.25, 3}