Question
Factor the expression
2t3(4−7t3)
Evaluate
8t3−14t6
Rewrite the expression
2t3×4−2t3×7t3
Solution
2t3(4−7t3)
Show Solution

Find the roots
t1=0,t2=73196
Alternative Form
t1=0,t2≈0.829827
Evaluate
8t3−14t6
To find the roots of the expression,set the expression equal to 0
8t3−14t6=0
Factor the expression
2t3(4−7t3)=0
Divide both sides
t3(4−7t3)=0
Separate the equation into 2 possible cases
t3=04−7t3=0
The only way a power can be 0 is when the base equals 0
t=04−7t3=0
Solve the equation
More Steps

Evaluate
4−7t3=0
Move the constant to the right-hand side and change its sign
−7t3=0−4
Removing 0 doesn't change the value,so remove it from the expression
−7t3=−4
Change the signs on both sides of the equation
7t3=4
Divide both sides
77t3=74
Divide the numbers
t3=74
Take the 3-th root on both sides of the equation
3t3=374
Calculate
t=374
Simplify the root
More Steps

Evaluate
374
To take a root of a fraction,take the root of the numerator and denominator separately
3734
Multiply by the Conjugate
37×37234×372
Simplify
37×37234×349
Multiply the numbers
37×3723196
Multiply the numbers
73196
t=73196
t=0t=73196
Solution
t1=0,t2=73196
Alternative Form
t1=0,t2≈0.829827
Show Solution
