Question
Factor the expression
Factor
(m−7)(m+1)
Evaluate
m2−6m−7
Rewrite the expression
m2+(1−7)m−7
Calculate
m2+m−7m−7
Rewrite the expression
m×m+m−7m−7
Factor out m from the expression
m(m+1)−7m−7
Factor out −7 from the expression
m(m+1)−7(m+1)
Solution
(m−7)(m+1)
Show Solution
Find the roots
Find the roots of the algebra expression
m1=−1,m2=7
Evaluate
m2−6m−7
To find the roots of the expression,set the expression equal to 0
m2−6m−7=0
Factor the expression
More Steps
Evaluate
m2−6m−7
Rewrite the expression
m2+(1−7)m−7
Calculate
m2+m−7m−7
Rewrite the expression
m×m+m−7m−7
Factor out m from the expression
m(m+1)−7m−7
Factor out −7 from the expression
m(m+1)−7(m+1)
Factor out m+1 from the expression
(m−7)(m+1)
(m−7)(m+1)=0
When the product of factors equals 0,at least one factor is 0
m−7=0m+1=0
Solve the equation for m
More Steps
Evaluate
m−7=0
Move the constant to the right-hand side and change its sign
m=0+7
Removing 0 doesn't change the value,so remove it from the expression
m=7
m=7m+1=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=7m=−1
Solution
m1=−1,m2=7
Show Solution