Question
Simplify the expression
x2−2x
Evaluate
x2−x−x
Solution
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Evaluate
−x−x
Collect like terms by calculating the sum or difference of their coefficients
(−1−1)x
Subtract the numbers
−2x
x2−2x
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Factor the expression
x(x−2)
Evaluate
x2−x−x
Subtract the terms
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Evaluate
−x−x
Collect like terms by calculating the sum or difference of their coefficients
(−1−1)x
Subtract the numbers
−2x
x2−2x
Rewrite the expression
x×x−x×2
Solution
x(x−2)
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Find the roots
x1=0,x2=2
Evaluate
x2−x−x
To find the roots of the expression,set the expression equal to 0
x2−x−x=0
Subtract the terms
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Simplify
x2−x−x
Subtract the terms
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Evaluate
−x−x
Collect like terms by calculating the sum or difference of their coefficients
(−1−1)x
Subtract the numbers
−2x
x2−2x
x2−2x=0
Factor the expression
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Evaluate
x2−2x
Rewrite the expression
x×x−x×2
Factor out x from the expression
x(x−2)
x(x−2)=0
When the product of factors equals 0,at least one factor is 0
x=0x−2=0
Solve the equation for x
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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=2
Solution
x1=0,x2=2
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