Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
9t2−192t5
Evaluate
9t2−48t5×4
Solution
9t2−192t5
Show Solution
Factor the expression
3t2(3−64t3)
Evaluate
9t2−48t5×4
Multiply the terms
9t2−192t5
Rewrite the expression
3t2×3−3t2×64t3
Solution
3t2(3−64t3)
Show Solution
Find the roots
t1=0,t2=433
Alternative Form
t1=0,t2≈0.360562
Evaluate
9t2−48t5×4
To find the roots of the expression,set the expression equal to 0
9t2−48t5×4=0
Multiply the terms
9t2−192t5=0
Factor the expression
3t2(3−64t3)=0
Divide both sides
t2(3−64t3)=0
Separate the equation into 2 possible cases
t2=03−64t3=0
The only way a power can be 0 is when the base equals 0
t=03−64t3=0
Solve the equation
More Steps
Evaluate
3−64t3=0
Move the constant to the right-hand side and change its sign
−64t3=0−3
Removing 0 doesn't change the value,so remove it from the expression
−64t3=−3
Change the signs on both sides of the equation
64t3=3
Divide both sides
6464t3=643
Divide the numbers
t3=643
Take the 3-th root on both sides of the equation
3t3=3643
Calculate
t=3643
Simplify the root
More Steps
Evaluate
3643
To take a root of a fraction,take the root of the numerator and denominator separately
36433
Simplify the radical expression
433
t=433
t=0t=433
Solution
t1=0,t2=433
Alternative Form
t1=0,t2≈0.360562
Show Solution