Question
Solve the equation
t=−38310830
Alternative Form
t≈−0.582227
Evaluate
960=−16t2×304t
Multiply
More Steps

Evaluate
−16t2×304t
Multiply the terms
−4864t2×t
Multiply the terms with the same base by adding their exponents
−4864t2+1
Add the numbers
−4864t3
960=−4864t3
Swap the sides of the equation
−4864t3=960
Change the signs on both sides of the equation
4864t3=−960
Divide both sides
48644864t3=4864−960
Divide the numbers
t3=4864−960
Divide the numbers
More Steps

Evaluate
4864−960
Cancel out the common factor 64
76−15
Use b−a=−ba=−ba to rewrite the fraction
−7615
t3=−7615
Take the 3-th root on both sides of the equation
3t3=3−7615
Calculate
t=3−7615
Solution
More Steps

Evaluate
3−7615
An odd root of a negative radicand is always a negative
−37615
To take a root of a fraction,take the root of the numerator and denominator separately
−376315
Multiply by the Conjugate
376×3762−315×3762
Simplify
376×3762−315×23722
Multiply the numbers
More Steps

Evaluate
−315×23722
Multiply the terms
−310830×2
Use the commutative property to reorder the terms
−2310830
376×3762−2310830
Multiply the numbers
More Steps

Evaluate
376×3762
The product of roots with the same index is equal to the root of the product
376×762
Calculate the product
3763
Reduce the index of the radical and exponent with 3
76
76−2310830
Cancel out the common factor 2
38−310830
Calculate
−38310830
t=−38310830
Alternative Form
t≈−0.582227
Show Solution
