Question
Factor the expression
−m2(3+2m3)
Evaluate
−3m2−2m5
Rewrite the expression
−m2×3−m2×2m3
Solution
−m2(3+2m3)
Show Solution

Find the roots
m1=−2312,m2=0
Alternative Form
m1≈−1.144714,m2=0
Evaluate
−3m2−2m5
To find the roots of the expression,set the expression equal to 0
−3m2−2m5=0
Factor the expression
−m2(3+2m3)=0
Divide both sides
m2(3+2m3)=0
Separate the equation into 2 possible cases
m2=03+2m3=0
The only way a power can be 0 is when the base equals 0
m=03+2m3=0
Solve the equation
More Steps

Evaluate
3+2m3=0
Move the constant to the right-hand side and change its sign
2m3=0−3
Removing 0 doesn't change the value,so remove it from the expression
2m3=−3
Divide both sides
22m3=2−3
Divide the numbers
m3=2−3
Use b−a=−ba=−ba to rewrite the fraction
m3=−23
Take the 3-th root on both sides of the equation
3m3=3−23
Calculate
m=3−23
Simplify the root
More Steps

Evaluate
3−23
An odd root of a negative radicand is always a negative
−323
To take a root of a fraction,take the root of the numerator and denominator separately
−3233
Multiply by the Conjugate
32×322−33×322
Simplify
32×322−33×34
Multiply the numbers
32×322−312
Multiply the numbers
2−312
Calculate
−2312
m=−2312
m=0m=−2312
Solution
m1=−2312,m2=0
Alternative Form
m1≈−1.144714,m2=0
Show Solution
