Question
Simplify the expression
512x2−4096x
Evaluate
(x−8)(x×8)×64
Remove the parentheses
(x−8)x×8×64
Multiply the terms
(x−8)x×512
Use the commutative property to reorder the terms
(x−8)×512x
Multiply the terms
512x(x−8)
Apply the distributive property
512x×x−512x×8
Multiply the terms
512x2−512x×8
Solution
512x2−4096x
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Find the roots
x1=0,x2=8
Evaluate
(x−8)(x×8)×64
To find the roots of the expression,set the expression equal to 0
(x−8)(x×8)×64=0
Use the commutative property to reorder the terms
(x−8)×8x×64=0
Multiply the terms
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Multiply the terms
(x−8)×8x×64
Multiply the terms
(x−8)×512x
Multiply the terms
512x(x−8)
512x(x−8)=0
Elimination the left coefficient
x(x−8)=0
Separate the equation into 2 possible cases
x=0x−8=0
Solve the equation
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Evaluate
x−8=0
Move the constant to the right-hand side and change its sign
x=0+8
Removing 0 doesn't change the value,so remove it from the expression
x=8
x=0x=8
Solution
x1=0,x2=8
Show Solution
