Answer:
factored form: (n + 4)²
Solving for n: n = -4
Step-by-step explanation:
n² + 8n + 16
To solve this, simplify. Note that the factors of n² & 16, when combined, must equal 8n. Find factors of 16:
Factors of 16:
1, 2, 4, 8, 16
Use the factor 4:
n² + 8n + 16
n 4
n 4
(n + 4)(n +4) = (n + 4)² is your factored form.
If you need to, solve for n. Take one of the parenthesis, and set it equal to 0:
(n + 4) = 0
Isolate the variable, n. Note the equal sign, what you do to one side, you do to the other. Subtract 4 from both sides:
n + 4 (-4) = 0 (-4)
n = 0 - 4
n = -4
~
![{36}^{2x + 5} = {216}^{x - 1}](https://tex.z-dn.net/?f=%20%7B36%7D%5E%7B2x%20%2B%205%7D%20%20%3D%20%20%7B216%7D%5E%7Bx%20-%201%7D%20)
![{6}^{2(2x + 5)} = {6}^{3(x - 1)}](https://tex.z-dn.net/?f=%20%7B6%7D%5E%7B2%282x%20%2B%205%29%7D%20%20%3D%20%20%7B6%7D%5E%7B3%28x%20-%201%29%7D%20)
![{6}^{(4x + 10)} = {6}^{(3x - 3)}](https://tex.z-dn.net/?f=%20%7B6%7D%5E%7B%284x%20%2B%2010%29%7D%20%20%3D%20%20%7B6%7D%5E%7B%283x%20-%203%29%7D%20)
Since bases i.e 6 are same exponents are equal
4x+10= 3x-3
4x-3x = -3-10
x= -13
Answer:
5 pairs with 1 extra shoe
Step-by-step explanation: