Question
Simplify the expression
8x6−4x5
Evaluate
2(2x−1)×2x5
Multiply the terms
4(2x−1)x5
Multiply the terms
4x5(2x−1)
Apply the distributive property
4x5×2x−4x5×1
Multiply the terms
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Evaluate
4x5×2x
Multiply the numbers
8x5×x
Multiply the terms
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Evaluate
x5×x
Use the product rule an×am=an+m to simplify the expression
x5+1
Add the numbers
x6
8x6
8x6−4x5×1
Solution
8x6−4x5
Show Solution

Find the roots
x1=0,x2=21
Alternative Form
x1=0,x2=0.5
Evaluate
2(2x−1)×2(x5)
To find the roots of the expression,set the expression equal to 0
2(2x−1)×2(x5)=0
Calculate
2(2x−1)×2x5=0
Multiply
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Multiply the terms
2(2x−1)×2x5
Multiply the terms
4(2x−1)x5
Multiply the terms
4x5(2x−1)
4x5(2x−1)=0
Elimination the left coefficient
x5(2x−1)=0
Separate the equation into 2 possible cases
x5=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
