SOLUTION: Find the value of x for which (2+x)⁴=16 + 16x + x⁴ Could I be shown this step by step please

Algebra ->  Finance -> SOLUTION: Find the value of x for which (2+x)⁴=16 + 16x + x⁴ Could I be shown this step by step please       Log On


   

Question 1029817: Find the value of x for which (2+x)⁴=16 + 16x + x⁴
Could I be shown this step by step please
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%282%2Bx%29%5E4=16%2B16x%2Bx%5E4
x%5E4%2B8x%5E3%2B24x%5E2%2B32x%2B16=16%2B16x%2Bx%5E4
8x%5E3%2B24x%5E2%2B16x=0
x%28x%5E2%2B3x%2B2%29=0
x%28x%2B1%29%28x%2B2%29=0
Three solutions,
x=0
.
.
x%2B1=0
x=-1
,
,
,
x%2B2=0
x=-2
.
.
.