(N-5)(2N-1)=

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

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

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

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

Multiply (-5 + N) * (-1 + 2N)
(-5(-1 + 2N) + N(-1 + 2N)) = 0
((-1 * -5 + 2N * -5) + N(-1 + 2N)) = 0
((5 + -10N) + N(-1 + 2N)) = 0
(5 + -10N + (-1 * N + 2N * N)) = 0
(5 + -10N + (-1N + 2N2)) = 0

Combine like terms: -10N + -1N = -11N
(5 + -11N + 2N2) = 0

Solving
5 + -11N + 2N2 = 0

Solving for variable 'N'.

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

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

Simplifying
1 + -2N = 0

Solving
1 + -2N = 0

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

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

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

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

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

Simplifying
N = 0.5
Subproblem 2
Set the factor '(5 + -1N)' equal to zero and attempt to solve:

Simplifying
5 + -1N = 0

Solving
5 + -1N = 0

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

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

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

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

Divide each side by '-1'.
N = 5

Simplifying
N = 5
Solution
N = {0.5, 5}