Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−6n3−3n2
Evaluate
3n2(−2n−1)
Apply the distributive property
3n2(−2n)−3n2×1
Multiply the terms
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Evaluate
3n2(−2n)
Multiply the numbers
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Evaluate
3(−2)
Multiplying or dividing an odd number of negative terms equals a negative
−3×2
Multiply the numbers
−6
−6n2×n
Multiply the terms
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Evaluate
n2×n
Use the product rule an×am=an+m to simplify the expression
n2+1
Add the numbers
n3
−6n3
−6n3−3n2×1
Solution
−6n3−3n2
Show Solution
Find the roots
n1=−21,n2=0
Alternative Form
n1=−0.5,n2=0
Evaluate
3n2(−2n−1)
To find the roots of the expression,set the expression equal to 0
3n2(−2n−1)=0
Elimination the left coefficient
n2(−2n−1)=0
Separate the equation into 2 possible cases
n2=0−2n−1=0
The only way a power can be 0 is when the base equals 0
n=0−2n−1=0
Solve the equation
More Steps
Evaluate
−2n−1=0
Move the constant to the right-hand side and change its sign
−2n=0+1
Removing 0 doesn't change the value,so remove it from the expression
−2n=1
Change the signs on both sides of the equation
2n=−1
Divide both sides
22n=2−1
Divide the numbers
n=2−1
Use b−a=−ba=−ba to rewrite the fraction
n=−21
n=0n=−21
Solution
n1=−21,n2=0
Alternative Form
n1=−0.5,n2=0
Show Solution