Question
Simplify the expression
9x3−6x2
Evaluate
3x2(3x−2)
Apply the distributive property
3x2×3x−3x2×2
Multiply the terms
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Evaluate
3x2×3x
Multiply the numbers
9x2×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
9x3
9x3−3x2×2
Solution
9x3−6x2
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Find the roots
x1=0,x2=32
Alternative Form
x1=0,x2=0.6˙
Evaluate
(3x2)(3x−2)
To find the roots of the expression,set the expression equal to 0
(3x2)(3x−2)=0
Multiply the terms
3x2(3x−2)=0
Elimination the left coefficient
x2(3x−2)=0
Separate the equation into 2 possible cases
x2=03x−2=0
The only way a power can be 0 is when the base equals 0
x=03x−2=0
Solve the equation
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Evaluate
3x−2=0
Move the constant to the right-hand side and change its sign
3x=0+2
Removing 0 doesn't change the value,so remove it from the expression
3x=2
Divide both sides
33x=32
Divide the numbers
x=32
x=0x=32
Solution
x1=0,x2=32
Alternative Form
x1=0,x2=0.6˙
Show Solution
