Question
Simplify the expression
6t5−616t2
Evaluate
6t5−7t×88t
Solution
More Steps

Evaluate
7t×88t
Multiply the terms
616t×t
Multiply the terms
616t2
6t5−616t2
Show Solution

Factor the expression
2t2(3t3−308)
Evaluate
6t5−7t×88t
Multiply
More Steps

Evaluate
7t×88t
Multiply the terms
616t×t
Multiply the terms
616t2
6t5−616t2
Rewrite the expression
2t2×3t3−2t2×308
Solution
2t2(3t3−308)
Show Solution

Find the roots
t1=0,t2=332772
Alternative Form
t1=0,t2≈4.682486
Evaluate
6t5−7t×88t
To find the roots of the expression,set the expression equal to 0
6t5−7t×88t=0
Multiply
More Steps

Multiply the terms
7t×88t
Multiply the terms
616t×t
Multiply the terms
616t2
6t5−616t2=0
Factor the expression
2t2(3t3−308)=0
Divide both sides
t2(3t3−308)=0
Separate the equation into 2 possible cases
t2=03t3−308=0
The only way a power can be 0 is when the base equals 0
t=03t3−308=0
Solve the equation
More Steps

Evaluate
3t3−308=0
Move the constant to the right-hand side and change its sign
3t3=0+308
Removing 0 doesn't change the value,so remove it from the expression
3t3=308
Divide both sides
33t3=3308
Divide the numbers
t3=3308
Take the 3-th root on both sides of the equation
3t3=33308
Calculate
t=33308
Simplify the root
More Steps

Evaluate
33308
To take a root of a fraction,take the root of the numerator and denominator separately
333308
Multiply by the Conjugate
33×3323308×332
Simplify
33×3323308×39
Multiply the numbers
33×33232772
Multiply the numbers
332772
t=332772
t=0t=332772
Solution
t1=0,t2=332772
Alternative Form
t1=0,t2≈4.682486
Show Solution
