(4U-2)(5U-1)=

Solution for (4U-2)(5U-1)= equation:

Simplifying
(4U + -2)(5U + -1) = 0

Reorder the terms:
(-2 + 4U)(5U + -1) = 0

Reorder the terms:
(-2 + 4U)(-1 + 5U) = 0

Multiply (-2 + 4U) * (-1 + 5U)
(-2(-1 + 5U) + 4U * (-1 + 5U)) = 0
((-1 * -2 + 5U * -2) + 4U * (-1 + 5U)) = 0
((2 + -10U) + 4U * (-1 + 5U)) = 0
(2 + -10U + (-1 * 4U + 5U * 4U)) = 0
(2 + -10U + (-4U + 20U2)) = 0

Combine like terms: -10U + -4U = -14U
(2 + -14U + 20U2) = 0

Solving
2 + -14U + 20U2 = 0

Solving for variable 'U'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -7U + 10U2) = 0

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

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

Simplifying
1 + -5U = 0

Solving
1 + -5U = 0

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

Add '-1' to each side of the equation.
1 + -1 + -5U = 0 + -1

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

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

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

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

Simplifying
1 + -2U = 0

Solving
1 + -2U = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2U = 0 + -1

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

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

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

Simplifying
U = 0.5
Solution
U = {0.2, 0.5}