Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(s+5)(s+6)
Evaluate
s2+11s+30
Rewrite the expression
s2+(6+5)s+30
Calculate
s2+6s+5s+30
Rewrite the expression
s×s+s×6+5s+5×6
Factor out s from the expression
s(s+6)+5s+5×6
Factor out 5 from the expression
s(s+6)+5(s+6)
Solution
(s+5)(s+6)
Show Solution
Find the roots
s1=−6,s2=−5
Evaluate
s2+11s+30
To find the roots of the expression,set the expression equal to 0
s2+11s+30=0
Factor the expression
More Steps
Evaluate
s2+11s+30
Rewrite the expression
s2+(6+5)s+30
Calculate
s2+6s+5s+30
Rewrite the expression
s×s+s×6+5s+5×6
Factor out s from the expression
s(s+6)+5s+5×6
Factor out 5 from the expression
s(s+6)+5(s+6)
Factor out s+6 from the expression
(s+5)(s+6)
(s+5)(s+6)=0
When the product of factors equals 0,at least one factor is 0
s+5=0s+6=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=−5s+6=0
Solve the equation for s
More Steps
Evaluate
s+6=0
Move the constant to the right-hand side and change its sign
s=0−6
Removing 0 doesn't change the value,so remove it from the expression
s=−6
s=−5s=−6
Solution
s1=−6,s2=−5
Show Solution