Question
Simplify the expression
3x7−8x6
Evaluate
(3x−8)x6
Multiply the terms
x6(3x−8)
Apply the distributive property
x6×3x−x6×8
Multiply the terms
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Evaluate
x6×3x
Use the commutative property to reorder the terms
3x6×x
Multiply the terms
More Steps

Evaluate
x6×x
Use the product rule an×am=an+m to simplify the expression
x6+1
Add the numbers
x7
3x7
3x7−x6×8
Solution
3x7−8x6
Show Solution

Find the roots
x1=0,x2=38
Alternative Form
x1=0,x2=2.6˙
Evaluate
(3x−8)(x6)
To find the roots of the expression,set the expression equal to 0
(3x−8)(x6)=0
Calculate
(3x−8)x6=0
Multiply the terms
x6(3x−8)=0
Separate the equation into 2 possible cases
x6=03x−8=0
The only way a power can be 0 is when the base equals 0
x=03x−8=0
Solve the equation
More Steps

Evaluate
3x−8=0
Move the constant to the right-hand side and change its sign
3x=0+8
Removing 0 doesn't change the value,so remove it from the expression
3x=8
Divide both sides
33x=38
Divide the numbers
x=38
x=0x=38
Solution
x1=0,x2=38
Alternative Form
x1=0,x2=2.6˙
Show Solution
