Question
Simplify the expression
3x+x2
Evaluate
2x−3xx2×(5−x)
Divide the terms
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Evaluate
3xx2
Use the product rule aman=an−m to simplify the expression
3x2−1
Reduce the fraction
3x
2x−3x(5−x)
Multiply the terms
2x−3x(5−x)
Reduce fractions to a common denominator
32x×3−3x(5−x)
Write all numerators above the common denominator
32x×3−x(5−x)
Multiply the terms
36x−x(5−x)
Multiply the terms
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Evaluate
x(5−x)
Apply the distributive property
x×5−x×x
Use the commutative property to reorder the terms
5x−x×x
Multiply the terms
5x−x2
36x−(5x−x2)
Solution
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Evaluate
6x−(5x−x2)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
6x−5x+x2
Subtract the terms
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Evaluate
6x−5x
Collect like terms by calculating the sum or difference of their coefficients
(6−5)x
Subtract the numbers
x
x+x2
3x+x2
Show Solution

Find the excluded values
x=0
Evaluate
2x−3xx2×(5−x)
To find the excluded values,set the denominators equal to 0
3x=0
Solution
x=0
Show Solution

Find the roots
x=−1
Evaluate
2x−3xx2×(5−x)
To find the roots of the expression,set the expression equal to 0
2x−3xx2×(5−x)=0
Find the domain
2x−3xx2×(5−x)=0,x=0
Calculate
2x−3xx2×(5−x)=0
Divide the terms
More Steps

Evaluate
3xx2
Use the product rule aman=an−m to simplify the expression
3x2−1
Reduce the fraction
3x
2x−3x(5−x)=0
Multiply the terms
2x−3x(5−x)=0
Subtract the terms
More Steps

Simplify
2x−3x(5−x)
Reduce fractions to a common denominator
32x×3−3x(5−x)
Write all numerators above the common denominator
32x×3−x(5−x)
Multiply the terms
36x−x(5−x)
Multiply the terms
More Steps

Evaluate
x(5−x)
Apply the distributive property
x×5−x×x
Use the commutative property to reorder the terms
5x−x×x
Multiply the terms
5x−x2
36x−(5x−x2)
Subtract the terms
More Steps

Evaluate
6x−(5x−x2)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
6x−5x+x2
Subtract the terms
x+x2
3x+x2
3x+x2=0
Simplify
x+x2=0
Factor the expression
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Evaluate
x+x2
Rewrite the expression
x+x×x
Factor out x from the expression
x(1+x)
x(1+x)=0
When the product of factors equals 0,at least one factor is 0
x=01+x=0
Solve the equation for x
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Evaluate
1+x=0
Move the constant to the right-hand side and change its sign
x=0−1
Removing 0 doesn't change the value,so remove it from the expression
x=−1
x=0x=−1
Check if the solution is in the defined range
x=0x=−1,x=0
Solution
x=−1
Show Solution
