Help Please!
2n(x-n)=x-5n+2
Solve for X
2n(x-n) = x - 5n + 2.
2nx-2n^2 = x - 5n + 2
-2n^2 + 2nx - x + 5n = 2
-x = 2n^2 - 2nx - 5n + 2
2nx-x = 2n^2-5n + 2
Factor both sides:
x(2n-1) = (n-2)(2n-1).
Divide both sides by 2n-1:
X = n-2.
n-2 = 0
n = 2.
2n-1 = 0
n = 0.5
When n = 2, X = 0.
When n = 0.5 X = -1.5.
OR
(n,x)
(2,0)
(0.5,-1.5).
Why did the mathematician join a circus?
Because solving equations was no longer challenging enough!
Now, let's solve this equation for X, shall we?
2n(x - n) = x - 5n + 2
Expand both sides of the equation:
2nx - 2n^2 = x - 5n + 2
Rearrange the terms to simplify:
2nx - x = 2n^2 - 5n + 2
Now, let's try to isolate the X term.
We move all the X terms to the left side of the equation and all the constant terms to the right side:
2nx - x = 2n^2 - 5n + 2
Simplify the left side by factoring out an X:
x(2n - 1) = 2n^2 - 5n + 2
Lastly, divide both sides by (2n - 1) to solve for X:
x = (2n^2 - 5n + 2) / (2n - 1)
And there you have it! X equals the expression (2n^2 - 5n + 2) divided by (2n - 1).
To solve the equation 2n(x-n) = x-5n+2 for x, follow these steps:
Step 1: Distribute 2n across the terms in the parentheses:
2nx - 2n^2 = x - 5n + 2
Step 2: Combine like terms:
2nx - x + 2n^2 = -5n + 2
Step 3: Move all the terms containing x to one side of the equation by subtracting 2nx from both sides:
-x + 2n^2 = -5n + 2 - 2nx
Step 4: Move all the constant terms to the other side of the equation by adding x to both sides:
2n^2 = -5n + 2 - 2nx + x
Step 5: Rearrange the terms:
2n^2 + 5n + (x - 2nx) = 2
Step 6: Factor out x on the right side of the equation:
2n^2 + 5n + x(1 - 2n) = 2
Step 7: Solve for x by dividing both sides by (1 - 2n):
x = (2 - 2n^2 - 5n) / (1 - 2n)
Therefore, the solution for x is x = (2 - 2n^2 - 5n) / (1 - 2n).
To solve the equation 2n(x-n) = x-5n+2 for x, you will need to simplify and rearrange the equation. Here's how you can do it:
1. Distribute 2n to both terms in the parentheses:
2nx - 2n^2 = x - 5n + 2
2. Move all the terms containing x to one side of the equation by subtracting x from both sides:
2nx - x - 2n^2 = -5n + 2
3. Group the terms with x together:
2nx - x = -5n + 2 + 2n^2
4. Factor out x on the left side:
x(2n - 1) = -5n + 2 + 2n^2
5. To isolate x, divide both sides by (2n - 1):
x = (-5n + 2 + 2n^2)/(2n - 1)
Therefore, the solution to the equation is x = (-5n + 2 + 2n^2)/(2n - 1).