Question
Simplify the expression
42x3−42x2
Evaluate
3(x−1)×2x(x×7)
Remove the parentheses
3(x−1)×2x×x×7
Multiply the terms
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Evaluate
3×2×7
Multiply the terms
6×7
Multiply the numbers
42
42(x−1)x×x
Multiply the terms
42(x−1)x2
Multiply the terms
42x2(x−1)
Apply the distributive property
42x2×x−42x2×1
Multiply the terms
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Evaluate
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
42x3−42x2×1
Solution
42x3−42x2
Show Solution

Find the roots
x1=0,x2=1
Evaluate
3(x−1)×2x(x×7)
To find the roots of the expression,set the expression equal to 0
3(x−1)×2x(x×7)=0
Use the commutative property to reorder the terms
3(x−1)×2x×7x=0
Multiply
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Multiply the terms
3(x−1)×2x×7x
Multiply the terms
More Steps

Evaluate
3×2×7
Multiply the terms
6×7
Multiply the numbers
42
42(x−1)x×x
Multiply the terms
42(x−1)x2
Multiply the terms
42x2(x−1)
42x2(x−1)=0
Elimination the left coefficient
x2(x−1)=0
Separate the equation into 2 possible cases
x2=0x−1=0
The only way a power can be 0 is when the base equals 0
x=0x−1=0
Solve the equation
More Steps

Evaluate
x−1=0
Move the constant to the right-hand side and change its sign
x=0+1
Removing 0 doesn't change the value,so remove it from the expression
x=1
x=0x=1
Solution
x1=0,x2=1
Show Solution
