(4y-1)(y-10)=

Solution for (4y-1)(y-10)= equation:

Simplifying
(4y + -1)(y + -10) = 0

Reorder the terms:
(-1 + 4y)(y + -10) = 0

Reorder the terms:
(-1 + 4y)(-10 + y) = 0

Multiply (-1 + 4y) * (-10 + y)
(-1(-10 + y) + 4y * (-10 + y)) = 0
((-10 * -1 + y * -1) + 4y * (-10 + y)) = 0
((10 + -1y) + 4y * (-10 + y)) = 0
(10 + -1y + (-10 * 4y + y * 4y)) = 0
(10 + -1y + (-40y + 4y2)) = 0

Combine like terms: -1y + -40y = -41y
(10 + -41y + 4y2) = 0

Solving
10 + -41y + 4y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(1 + -4y)(10 + -1y) = 0

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 '(10 + -1y)' equal to zero and attempt to solve:

Simplifying
10 + -1y = 0

Solving
10 + -1y = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1y = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1y = 0 + -10
-1y = 0 + -10

Combine like terms: 0 + -10 = -10
-1y = -10

Divide each side by '-1'.
y = 10

Simplifying
y = 10
Solution
y = {0.25, 10}