Question
Simplify the expression
−196623488t3
Evaluate
3040(t2×4t)−3(4t2×2024t×8096)
Remove the parentheses
3040t2×4t−3×4t2×2024t×8096
Multiply
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Multiply the terms
3040t2×4t
Multiply the terms
12160t2×t
Multiply the terms with the same base by adding their exponents
12160t2+1
Add the numbers
12160t3
12160t3−3×4t2×2024t×8096
Multiply
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Multiply the terms
3×4t2×2024t×8096
Multiply the terms
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Evaluate
3×4×2024×8096
Multiply the terms
12×2024×8096
Multiply the terms
24288×8096
Multiply the numbers
196635648
196635648t2×t
Multiply the terms with the same base by adding their exponents
196635648t2+1
Add the numbers
196635648t3
12160t3−196635648t3
Collect like terms by calculating the sum or difference of their coefficients
(12160−196635648)t3
Solution
−196623488t3
Show Solution

Find the roots
t=0
Evaluate
3040(t2×4t)−3(4t2×2024t×8096)
To find the roots of the expression,set the expression equal to 0
3040(t2×4t)−3(4t2×2024t×8096)=0
Multiply
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Multiply the terms
t2×4t
Multiply the terms with the same base by adding their exponents
t2+1×4
Add the numbers
t3×4
Use the commutative property to reorder the terms
4t3
3040×4t3−3(4t2×2024t×8096)=0
Multiply
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Multiply the terms
4t2×2024t×8096
Multiply the terms
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Evaluate
4×2024×8096
Multiply the terms
8096×8096
Multiply the numbers
65545216
65545216t2×t
Multiply the terms with the same base by adding their exponents
65545216t2+1
Add the numbers
65545216t3
3040×4t3−3×65545216t3=0
Multiply the numbers
12160t3−3×65545216t3=0
Multiply the numbers
12160t3−196635648t3=0
Subtract the terms
More Steps

Simplify
12160t3−196635648t3
Collect like terms by calculating the sum or difference of their coefficients
(12160−196635648)t3
Subtract the numbers
−196623488t3
−196623488t3=0
Change the signs on both sides of the equation
196623488t3=0
Rewrite the expression
t3=0
Solution
t=0
Show Solution
