Question
Solve the equation
s1=−3511016,s2=0
Alternative Form
s1≈−2.14429,s2=0
Evaluate
−417s×8=23×21s6
Multiply the terms
More Steps

Evaluate
417×8
Reduce the numbers
17×2
Multiply the numbers
34
−34s=23×21s6
Multiply the numbers
More Steps

Evaluate
23×21
To multiply the fractions,multiply the numerators and denominators separately
2×23
Multiply the numbers
43
−34s=43s6
Add or subtract both sides
−34s−43s6=0
Factor the expression
s(−34−43s5)=0
Separate the equation into 2 possible cases
s=0−34−43s5=0
Solve the equation
More Steps

Evaluate
−34−43s5=0
Move the constant to the right-hand side and change its sign
−43s5=0+34
Removing 0 doesn't change the value,so remove it from the expression
−43s5=34
Change the signs on both sides of the equation
43s5=−34
Multiply by the reciprocal
43s5×34=−34×34
Multiply
s5=−34×34
Multiply
More Steps

Evaluate
−34×34
Multiply the numbers
−334×4
Multiply the numbers
−3136
s5=−3136
Take the 5-th root on both sides of the equation
5s5=5−3136
Calculate
s=5−3136
Simplify the root
More Steps

Evaluate
5−3136
An odd root of a negative radicand is always a negative
−53136
To take a root of a fraction,take the root of the numerator and denominator separately
−535136
Multiply by the Conjugate
53×534−5136×534
Simplify
53×534−5136×581
Multiply the numbers
53×534−511016
Multiply the numbers
3−511016
Calculate
−3511016
s=−3511016
s=0s=−3511016
Solution
s1=−3511016,s2=0
Alternative Form
s1≈−2.14429,s2=0
Show Solution
