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

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

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

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

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

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

Combine like terms: -10y + -1y = -11y
2(2 + -11y + 5y2) = 0
(2 * 2 + -11y * 2 + 5y2 * 2) = 0
(4 + -22y + 10y2) = 0

Solving
4 + -22y + 10y2 = 0

Solving for variable 'y'.

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

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

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

Simplifying
1 + -5y = 0

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

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

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

Divide each side by '-5'.
y = 0.2

Simplifying
y = 0.2
Subproblem 2
Set the factor '(2 + -1y)' equal to zero and attempt to solve:

Simplifying
2 + -1y = 0

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

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

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

Divide each side by '-1'.
y = 2

Simplifying
y = 2
Solution
y = {0.2, 2}