Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
30m4−19m
Evaluate
3m4×10−m×19
Multiply the terms
30m4−m×19
Solution
30m4−19m
Show Solution
Factor the expression
m(30m3−19)
Evaluate
3m4×10−m×19
Multiply the terms
30m4−m×19
Use the commutative property to reorder the terms
30m4−19m
Rewrite the expression
m×30m3−m×19
Solution
m(30m3−19)
Show Solution
Find the roots
m1=0,m2=30317100
Alternative Form
m1=0,m2≈0.858771
Evaluate
3m4×10−m×19
To find the roots of the expression,set the expression equal to 0
3m4×10−m×19=0
Multiply the terms
30m4−m×19=0
Use the commutative property to reorder the terms
30m4−19m=0
Factor the expression
m(30m3−19)=0
Separate the equation into 2 possible cases
m=030m3−19=0
Solve the equation
More Steps
Evaluate
30m3−19=0
Move the constant to the right-hand side and change its sign
30m3=0+19
Removing 0 doesn't change the value,so remove it from the expression
30m3=19
Divide both sides
3030m3=3019
Divide the numbers
m3=3019
Take the 3-th root on both sides of the equation
3m3=33019
Calculate
m=33019
Simplify the root
More Steps
Evaluate
33019
To take a root of a fraction,take the root of the numerator and denominator separately
330319
Multiply by the Conjugate
330×3302319×3302
Simplify
330×3302319×3900
Multiply the numbers
330×3302317100
Multiply the numbers
30317100
m=30317100
m=0m=30317100
Solution
m1=0,m2=30317100
Alternative Form
m1=0,m2≈0.858771
Show Solution