Question
Simplify the expression
−6x2+x3+8x
Evaluate
−(1×x)(x−2)(4−x)
Remove the parentheses
−1×x(x−2)(4−x)
Any expression multiplied by 1 remains the same
−x(x−2)(4−x)
Multiply the terms
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Evaluate
−x(x−2)
Apply the distributive property
−x×x−(−x×2)
Multiply the terms
−x2−(−x×2)
Use the commutative property to reorder the terms
−x2−(−2x)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−x2+2x
(−x2+2x)(4−x)
Apply the distributive property
−x2×4−(−x2×x)+2x×4−2x×x
Use the commutative property to reorder the terms
−4x2−(−x2×x)+2x×4−2x×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
−4x2−(−x3)+2x×4−2x×x
Multiply the numbers
−4x2−(−x3)+8x−2x×x
Multiply the terms
−4x2−(−x3)+8x−2x2
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−4x2+x3+8x−2x2
Solution
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Evaluate
−4x2−2x2
Collect like terms by calculating the sum or difference of their coefficients
(−4−2)x2
Subtract the numbers
−6x2
−6x2+x3+8x
Show Solution

Find the roots
x1=0,x2=2,x3=4
Evaluate
−(1×x)(x−2)(4−x)
To find the roots of the expression,set the expression equal to 0
−(1×x)(x−2)(4−x)=0
Any expression multiplied by 1 remains the same
−x(x−2)(4−x)=0
Change the sign
x(x−2)(4−x)=0
Separate the equation into 3 possible cases
x=0x−2=04−x=0
Solve the equation
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Evaluate
x−2=0
Move the constant to the right-hand side and change its sign
x=0+2
Removing 0 doesn't change the value,so remove it from the expression
x=2
x=0x=24−x=0
Solve the equation
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Evaluate
4−x=0
Move the constant to the right-hand side and change its sign
−x=0−4
Removing 0 doesn't change the value,so remove it from the expression
−x=−4
Change the signs on both sides of the equation
x=4
x=0x=2x=4
Solution
x1=0,x2=2,x3=4
Show Solution
