Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
3(m+2)(m+6)
Evaluate
3m2+24m+36
Rewrite the expression
3m2+3×8m+3×12
Factor out 3 from the expression
3(m2+8m+12)
Solution
More Steps
Evaluate
m2+8m+12
Rewrite the expression
m2+(6+2)m+12
Calculate
m2+6m+2m+12
Rewrite the expression
m×m+m×6+2m+2×6
Factor out m from the expression
m(m+6)+2m+2×6
Factor out 2 from the expression
m(m+6)+2(m+6)
Factor out m+6 from the expression
(m+2)(m+6)
3(m+2)(m+6)
Show Solution
Find the roots
m1=−6,m2=−2
Evaluate
3m2+24m+36
To find the roots of the expression,set the expression equal to 0
3m2+24m+36=0
Factor the expression
More Steps
Evaluate
3m2+24m+36
Rewrite the expression
3m2+3×8m+3×12
Factor out 3 from the expression
3(m2+8m+12)
Factor the expression
More Steps
Evaluate
m2+8m+12
Rewrite the expression
m2+(6+2)m+12
Calculate
m2+6m+2m+12
Rewrite the expression
m×m+m×6+2m+2×6
Factor out m from the expression
m(m+6)+2m+2×6
Factor out 2 from the expression
m(m+6)+2(m+6)
Factor out m+6 from the expression
(m+2)(m+6)
3(m+2)(m+6)
3(m+2)(m+6)=0
Divide the terms
(m+2)(m+6)=0
When the product of factors equals 0,at least one factor is 0
m+2=0m+6=0
Solve the equation for m
More Steps
Evaluate
m+2=0
Move the constant to the right-hand side and change its sign
m=0−2
Removing 0 doesn't change the value,so remove it from the expression
m=−2
m=−2m+6=0
Solve the equation for m
More Steps
Evaluate
m+6=0
Move the constant to the right-hand side and change its sign
m=0−6
Removing 0 doesn't change the value,so remove it from the expression
m=−6
m=−2m=−6
Solution
m1=−6,m2=−2
Show Solution