x(4-k)=p solve for k
solve for k x(4-k)=p
plz solve
To solve for k in the equation x(4 - k) = p, we can follow these steps:
Step 1: Distribute x to the terms inside the parentheses:
4x - kx = p
Step 2: Move the term containing k to one side of the equation by adding kx to both sides:
4x = p + kx
Step 3: Move all terms containing k to the same side of the equation by subtracting kx from both sides:
4x - kx = p
Step 4: Factor out k from the left side of the equation:
k(4 - x) = p
Step 5: Divide both sides of the equation by (4 - x) to solve for k:
k = p / (4 - x)
Therefore, k = p / (4 - x).
To solve for k in the equation x(4-k) = p, you can follow the steps below:
1. Start by expanding the equation using the distributive property. Multiply x by each term inside the parentheses.
x * 4 - x * k = p
2. Simplify the equation by multiplying x with the terms inside the parentheses.
4x - kx = p
3. Now, we want to isolate the variable k. First, move the term with k to the other side of the equation by adding kx to both sides.
4x - kx + kx = p + kx
Simplifying further, we get:
4x = p + kx
4. Next, subtract kx from both sides to move all terms with k to one side of the equation.
4x - kx = p + kx - kx
Simplifying further, we get:
4x - kx = p
5. Now, we can factor out k from the left side of the equation.
x(4 - k) = p
6. Divide both sides of the equation by (4 - k) to solve for k.
x(4 - k) / (4 - k) = p / (4 - k)
7. The (4 - k) term cancels out on the left side of the equation, leaving us with:
x = p / (4 - k)
Therefore, the solution for k is:
k = 4 - (p / x)
Note that in step 6, we divide by (4 - k). However, we need to make sure that (4 - k) is not equal to zero, as division by zero is undefined. So, if (4 - k) equals zero, then there is no solution for k in the given equation.