I think the question is
Find the value of c so that (x-5) is a factor of the polynomial

The other factor is going to be some quadratic. We can say a few things about its coefficients but let's start by saying in general it's



Equating respective coefficients,




so we get



Answer: -37
Check:

Answer:
Always true because there are no other options that allow the equations to be true
Step-by-step explanation:
a+4=8
subtract 4
a=4
4-m=2
add m
4=2+m
subtract 2
2=m
Answer:x = 9/16
Step-by-step explanation:
2x + 3 = 6x - 4
/3
First you gotta get rid of the divided by 3
2x / 3 = 2/3x and 3 / 3 = 1
Now you have
2/3x + 1 = 6x - 4
Second you have to get rid of the 2/3x on the left side
2/3x + 1 = 6x - 4
-2/3x -2/3x
1 = 5 1/3x - 4
Third you have to get rid of the -4
1 = 5 1/3x - 4
-4 -4
-3 = 5 1/3x
Fourth you have to divide by 5 1/3
-3 = 5 1/3x
/ 5 1/3 / 5 1/3
x = 9/16