Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(m−20)(m−5)
Evaluate
m2−25m+100
Rewrite the expression
m2+(−5−20)m+100
Calculate
m2−5m−20m+100
Rewrite the expression
m×m−m×5−20m+20×5
Factor out m from the expression
m(m−5)−20m+20×5
Factor out −20 from the expression
m(m−5)−20(m−5)
Solution
(m−20)(m−5)
Show Solution
Find the roots
m1=5,m2=20
Evaluate
m2−25m+100
To find the roots of the expression,set the expression equal to 0
m2−25m+100=0
Factor the expression
More Steps
Evaluate
m2−25m+100
Rewrite the expression
m2+(−5−20)m+100
Calculate
m2−5m−20m+100
Rewrite the expression
m×m−m×5−20m+20×5
Factor out m from the expression
m(m−5)−20m+20×5
Factor out −20 from the expression
m(m−5)−20(m−5)
Factor out m−5 from the expression
(m−20)(m−5)
(m−20)(m−5)=0
When the product of factors equals 0,at least one factor is 0
m−20=0m−5=0
Solve the equation for m
More Steps
Evaluate
m−20=0
Move the constant to the right-hand side and change its sign
m=0+20
Removing 0 doesn't change the value,so remove it from the expression
m=20
m=20m−5=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=20m=5
Solution
m1=5,m2=20
Show Solution