Question
Factor the expression
(m+1)(2m−9)
Evaluate
2m2−7m−9
Rewrite the expression
2m2+(−9+2)m−9
Calculate
2m2−9m+2m−9
Rewrite the expression
m×2m−m×9+2m−9
Factor out m from the expression
m(2m−9)+2m−9
Solution
(m+1)(2m−9)
Show Solution

Find the roots
m1=−1,m2=29
Alternative Form
m1=−1,m2=4.5
Evaluate
2m2−7m−9
To find the roots of the expression,set the expression equal to 0
2m2−7m−9=0
Factor the expression
More Steps

Evaluate
2m2−7m−9
Rewrite the expression
2m2+(−9+2)m−9
Calculate
2m2−9m+2m−9
Rewrite the expression
m×2m−m×9+2m−9
Factor out m from the expression
m(2m−9)+2m−9
Factor out 2m−9 from the expression
(m+1)(2m−9)
(m+1)(2m−9)=0
When the product of factors equals 0,at least one factor is 0
m+1=02m−9=0
Solve the equation for m
More Steps

Evaluate
m+1=0
Move the constant to the right-hand side and change its sign
m=0−1
Removing 0 doesn't change the value,so remove it from the expression
m=−1
m=−12m−9=0
Solve the equation for m
More Steps

Evaluate
2m−9=0
Move the constant to the right-hand side and change its sign
2m=0+9
Removing 0 doesn't change the value,so remove it from the expression
2m=9
Divide both sides
22m=29
Divide the numbers
m=29
m=−1m=29
Solution
m1=−1,m2=29
Alternative Form
m1=−1,m2=4.5
Show Solution
