(2U+1)(9U-5)=

Solution for (2U+1)(9U-5)= equation:

Simplifying
(2U + 1)(9U + -5) = 0

Reorder the terms:
(1 + 2U)(9U + -5) = 0

Reorder the terms:
(1 + 2U)(-5 + 9U) = 0

Multiply (1 + 2U) * (-5 + 9U)
(1(-5 + 9U) + 2U * (-5 + 9U)) = 0
((-5 * 1 + 9U * 1) + 2U * (-5 + 9U)) = 0
((-5 + 9U) + 2U * (-5 + 9U)) = 0
(-5 + 9U + (-5 * 2U + 9U * 2U)) = 0
(-5 + 9U + (-10U + 18U2)) = 0

Combine like terms: 9U + -10U = -1U
(-5 + -1U + 18U2) = 0

Solving
-5 + -1U + 18U2 = 0

Solving for variable 'U'.

Factor a trinomial.
(-1 + -2U)(5 + -9U) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(5 + -9U)' equal to zero and attempt to solve:

Simplifying
5 + -9U = 0

Solving
5 + -9U = 0

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

Add '-5' to each side of the equation.
5 + -5 + -9U = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -9U = 0 + -5
-9U = 0 + -5

Combine like terms: 0 + -5 = -5
-9U = -5

Divide each side by '-9'.
U = 0.5555555556

Simplifying
U = 0.5555555556
Solution
U = {-0.5, 0.5555555556}