c3c2c39 I know that the answer is c 3 but I need to see the

c^3+c^2+c=39

I know that the answer is c = 3, but I need to see the algebraic steps.... thanks

Solution

Given c³+c²+c=39

c*(c²+c+1)=39

39 is the product of two numbers & it can be written in two ways only.They are 1*39=39 & 3*13=39

If we substitute c=1,  c*(c²+c+1)=1*(1²+1+1)=1*(3)=3

If we substitute c=3,  c*(c²+c+1)=3*(3²+3+1)=3*(9+3+1)=3*(13)=39.

Thus, c=3 satisfies the equation.