Question
Factor the expression
(m−9)(3m+4)
Evaluate
3m2−23m−36
Rewrite the expression
3m2+(4−27)m−36
Calculate
3m2+4m−27m−36
Rewrite the expression
m×3m+m×4−9×3m−9×4
Factor out m from the expression
m(3m+4)−9×3m−9×4
Factor out −9 from the expression
m(3m+4)−9(3m+4)
Solution
(m−9)(3m+4)
Show Solution

Find the roots
m1=−34,m2=9
Alternative Form
m1=−1.3˙,m2=9
Evaluate
3m2−23m−36
To find the roots of the expression,set the expression equal to 0
3m2−23m−36=0
Factor the expression
More Steps

Evaluate
3m2−23m−36
Rewrite the expression
3m2+(4−27)m−36
Calculate
3m2+4m−27m−36
Rewrite the expression
m×3m+m×4−9×3m−9×4
Factor out m from the expression
m(3m+4)−9×3m−9×4
Factor out −9 from the expression
m(3m+4)−9(3m+4)
Factor out 3m+4 from the expression
(m−9)(3m+4)
(m−9)(3m+4)=0
When the product of factors equals 0,at least one factor is 0
m−9=03m+4=0
Solve the equation for m
More Steps

Evaluate
m−9=0
Move the constant to the right-hand side and change its sign
m=0+9
Removing 0 doesn't change the value,so remove it from the expression
m=9
m=93m+4=0
Solve the equation for m
More Steps

Evaluate
3m+4=0
Move the constant to the right-hand side and change its sign
3m=0−4
Removing 0 doesn't change the value,so remove it from the expression
3m=−4
Divide both sides
33m=3−4
Divide the numbers
m=3−4
Use b−a=−ba=−ba to rewrite the fraction
m=−34
m=9m=−34
Solution
m1=−34,m2=9
Alternative Form
m1=−1.3˙,m2=9
Show Solution
