Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(m−5)(m+4)
Evaluate
m2−m−20
Rewrite the expression
m2+(4−5)m−20
Calculate
m2+4m−5m−20
Rewrite the expression
m×m+m×4−5m−5×4
Factor out m from the expression
m(m+4)−5m−5×4
Factor out −5 from the expression
m(m+4)−5(m+4)
Solution
(m−5)(m+4)
Show Solution
Find the roots
m1=−4,m2=5
Evaluate
m2−m−20
To find the roots of the expression,set the expression equal to 0
m2−m−20=0
Factor the expression
More Steps
Evaluate
m2−m−20
Rewrite the expression
m2+(4−5)m−20
Calculate
m2+4m−5m−20
Rewrite the expression
m×m+m×4−5m−5×4
Factor out m from the expression
m(m+4)−5m−5×4
Factor out −5 from the expression
m(m+4)−5(m+4)
Factor out m+4 from the expression
(m−5)(m+4)
(m−5)(m+4)=0
When the product of factors equals 0,at least one factor is 0
m−5=0m+4=0
Solve the equation for m
More Steps
Evaluate
m−5=0
Move the constant to the right-hand side and change its sign
m=0+5
Removing 0 doesn't change the value,so remove it from the expression
m=5
m=5m+4=0
Solve the equation for m
More Steps
Evaluate
m+4=0
Move the constant to the right-hand side and change its sign
m=0−4
Removing 0 doesn't change the value,so remove it from the expression
m=−4
m=5m=−4
Solution
m1=−4,m2=5
Show Solution