Question
Simplify the expression
60n2−60n
Evaluate
2n(2×10(n−1)×6)
Remove the parentheses
2n×2×10(n−1)×6
Multiply the terms
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Evaluate
2×10×6
Multiply the terms
20×6
Multiply the numbers
120
2n×120(n−1)
Multiply the terms
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Multiply the terms
2n×120
Cancel out the common factor 2
n×60
Use the commutative property to reorder the terms
60n
60n(n−1)
Apply the distributive property
60n×n−60n×1
Multiply the terms
60n2−60n×1
Solution
60n2−60n
Show Solution

Find the roots
n1=0,n2=1
Evaluate
2n(2×10(n−1)×6)
To find the roots of the expression,set the expression equal to 0
2n(2×10(n−1)×6)=0
Multiply the terms
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Multiply the terms
2×10(n−1)×6
Multiply the terms
More Steps

Evaluate
2×10×6
Multiply the terms
20×6
Multiply the numbers
120
120(n−1)
2n×120(n−1)=0
Multiply the terms
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Multiply the terms
2n×120(n−1)
Cancel out the common factor 2
n×60(n−1)
Use the commutative property to reorder the terms
60n(n−1)
60n(n−1)=0
Elimination the left coefficient
n(n−1)=0
Separate the equation into 2 possible cases
n=0n−1=0
Solve the equation
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Evaluate
n−1=0
Move the constant to the right-hand side and change its sign
n=0+1
Removing 0 doesn't change the value,so remove it from the expression
n=1
n=0n=1
Solution
n1=0,n2=1
Show Solution
