Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
6(m−1)(5m+3)
Evaluate
30m2−12m−18
Rewrite the expression
6×5m2−6×2m−6×3
Factor out 6 from the expression
6(5m2−2m−3)
Solution
More Steps
Evaluate
5m2−2m−3
Rewrite the expression
5m2+(3−5)m−3
Calculate
5m2+3m−5m−3
Rewrite the expression
m×5m+m×3−5m−3
Factor out m from the expression
m(5m+3)−5m−3
Factor out −1 from the expression
m(5m+3)−(5m+3)
Factor out 5m+3 from the expression
(m−1)(5m+3)
6(m−1)(5m+3)
Show Solution
Find the roots
m1=−53,m2=1
Alternative Form
m1=−0.6,m2=1
Evaluate
30m2−12m−18
To find the roots of the expression,set the expression equal to 0
30m2−12m−18=0
Factor the expression
More Steps
Evaluate
30m2−12m−18
Rewrite the expression
6×5m2−6×2m−6×3
Factor out 6 from the expression
6(5m2−2m−3)
Factor the expression
More Steps
Evaluate
5m2−2m−3
Rewrite the expression
5m2+(3−5)m−3
Calculate
5m2+3m−5m−3
Rewrite the expression
m×5m+m×3−5m−3
Factor out m from the expression
m(5m+3)−5m−3
Factor out −1 from the expression
m(5m+3)−(5m+3)
Factor out 5m+3 from the expression
(m−1)(5m+3)
6(m−1)(5m+3)
6(m−1)(5m+3)=0
Divide the terms
(m−1)(5m+3)=0
When the product of factors equals 0,at least one factor is 0
m−1=05m+3=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=15m+3=0
Solve the equation for m
More Steps
Evaluate
5m+3=0
Move the constant to the right-hand side and change its sign
5m=0−3
Removing 0 doesn't change the value,so remove it from the expression
5m=−3
Divide both sides
55m=5−3
Divide the numbers
m=5−3
Use b−a=−ba=−ba to rewrite the fraction
m=−53
m=1m=−53
Solution
m1=−53,m2=1
Alternative Form
m1=−0.6,m2=1
Show Solution