Question
Simplify the expression
−20x33
Evaluate
−5x×16x212
Solution
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Evaluate
5x×16x212
Multiply
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Evaluate
5x×16x2
Multiply the terms
80x×x2
Multiply the terms with the same base by adding their exponents
80x1+2
Add the numbers
80x3
80x312
Reduce the fraction
20x33
−20x33
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Find the excluded values
x=0
Evaluate
−5x×16x212
To find the excluded values,set the denominators equal to 0
x×x2=0
Multiply the terms
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Evaluate
x×x2
Use the product rule an×am=an+m to simplify the expression
x1+2
Add the numbers
x3
x3=0
Solution
x=0
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Find the roots
x∈∅
Evaluate
−5x×16x212
To find the roots of the expression,set the expression equal to 0
−5x×16x212=0
Find the domain
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Evaluate
x×x2=0
Multiply the terms
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Evaluate
x×x2
Use the product rule an×am=an+m to simplify the expression
x1+2
Add the numbers
x3
x3=0
The only way a power can not be 0 is when the base not equals 0
x=0
−5x×16x212=0,x=0
Calculate
−5x×16x212=0
Multiply
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Multiply the terms
5x×16x2
Multiply the terms
80x×x2
Multiply the terms with the same base by adding their exponents
80x1+2
Add the numbers
80x3
−80x312=0
Cancel out the common factor 4
−20x33=0
Rewrite the expression
20x3−3=0
Cross multiply
−3=20x3×0
Simplify the equation
−3=0
Solution
x∈∅
Show Solution
