Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
35t4−600t
Evaluate
t4×35−600t
Solution
35t4−600t
Show Solution
Factor the expression
5t(7t3−120)
Evaluate
t4×35−600t
Use the commutative property to reorder the terms
35t4−600t
Rewrite the expression
5t×7t3−5t×120
Solution
5t(7t3−120)
Show Solution
Find the roots
t1=0,t2=723735
Alternative Form
t1=0,t2≈2.578464
Evaluate
t4×35−600t
To find the roots of the expression,set the expression equal to 0
t4×35−600t=0
Use the commutative property to reorder the terms
35t4−600t=0
Factor the expression
5t(7t3−120)=0
Divide both sides
t(7t3−120)=0
Separate the equation into 2 possible cases
t=07t3−120=0
Solve the equation
More Steps
Evaluate
7t3−120=0
Move the constant to the right-hand side and change its sign
7t3=0+120
Removing 0 doesn't change the value,so remove it from the expression
7t3=120
Divide both sides
77t3=7120
Divide the numbers
t3=7120
Take the 3-th root on both sides of the equation
3t3=37120
Calculate
t=37120
Simplify the root
More Steps
Evaluate
37120
To take a root of a fraction,take the root of the numerator and denominator separately
373120
Simplify the radical expression
372315
Multiply by the Conjugate
37×3722315×372
Simplify
37×3722315×349
Multiply the numbers
37×37223735
Multiply the numbers
723735
t=723735
t=0t=723735
Solution
t1=0,t2=723735
Alternative Form
t1=0,t2≈2.578464
Show Solution