Question
Simplify the expression
10x3−5x2
Evaluate
5x2(2x−1)
Apply the distributive property
5x2×2x−5x2×1
Multiply the terms
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Evaluate
5x2×2x
Multiply the numbers
10x2×x
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
10x3
10x3−5x2×1
Solution
10x3−5x2
Show Solution

Find the roots
x1=0,x2=21
Alternative Form
x1=0,x2=0.5
Evaluate
(5x2)(2x−1)
To find the roots of the expression,set the expression equal to 0
(5x2)(2x−1)=0
Multiply the terms
5x2(2x−1)=0
Elimination the left coefficient
x2(2x−1)=0
Separate the equation into 2 possible cases
x2=02x−1=0
The only way a power can be 0 is when the base equals 0
x=02x−1=0
Solve the equation
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Evaluate
2x−1=0
Move the constant to the right-hand side and change its sign
2x=0+1
Removing 0 doesn't change the value,so remove it from the expression
2x=1
Divide both sides
22x=21
Divide the numbers
x=21
x=0x=21
Solution
x1=0,x2=21
Alternative Form
x1=0,x2=0.5
Show Solution
