Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(s−5)(5s+1)
Evaluate
5s2−24s−5
Rewrite the expression
5s2+(1−25)s−5
Calculate
5s2+s−25s−5
Rewrite the expression
s×5s+s−5×5s−5
Factor out s from the expression
s(5s+1)−5×5s−5
Factor out −5 from the expression
s(5s+1)−5(5s+1)
Solution
(s−5)(5s+1)
Show Solution
Find the roots
s1=−51,s2=5
Alternative Form
s1=−0.2,s2=5
Evaluate
5s2−24s−5
To find the roots of the expression,set the expression equal to 0
5s2−24s−5=0
Factor the expression
More Steps
Evaluate
5s2−24s−5
Rewrite the expression
5s2+(1−25)s−5
Calculate
5s2+s−25s−5
Rewrite the expression
s×5s+s−5×5s−5
Factor out s from the expression
s(5s+1)−5×5s−5
Factor out −5 from the expression
s(5s+1)−5(5s+1)
Factor out 5s+1 from the expression
(s−5)(5s+1)
(s−5)(5s+1)=0
When the product of factors equals 0,at least one factor is 0
s−5=05s+1=0
Solve the equation for s
More Steps
Evaluate
s−5=0
Move the constant to the right-hand side and change its sign
s=0+5
Removing 0 doesn't change the value,so remove it from the expression
s=5
s=55s+1=0
Solve the equation for s
More Steps
Evaluate
5s+1=0
Move the constant to the right-hand side and change its sign
5s=0−1
Removing 0 doesn't change the value,so remove it from the expression
5s=−1
Divide both sides
55s=5−1
Divide the numbers
s=5−1
Use b−a=−ba=−ba to rewrite the fraction
s=−51
s=5s=−51
Solution
s1=−51,s2=5
Alternative Form
s1=−0.2,s2=5
Show Solution