Question
Simplify the expression
15x35x
Evaluate
(5x)3×3x2
Multiply the terms
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Evaluate
(5x)3×3
Rewrite the expression
5x5x×3
Multiply the terms
15x5x
15x5x×x2
Solution
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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
15x35x
Show Solution

Find the roots
x=0
Evaluate
(5x)3×3x2
To find the roots of the expression,set the expression equal to 0
(5x)3×3x2=0
Find the domain
(5x)3×3x2=0,x≥0
Calculate
(5x)3×3x2=0
Multiply the terms
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Multiply the terms
(5x)3×3x2
Multiply the terms
More Steps

Evaluate
(5x)3×3
Rewrite the expression
5x5x×3
Multiply the terms
15x5x
15x5x×x2
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
15x35x
15x35x=0
Elimination the left coefficient
x35x=0
Separate the equation into 2 possible cases
x3=05x=0
The only way a power can be 0 is when the base equals 0
x=05x=0
Solve the equation
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Evaluate
5x=0
The only way a root could be 0 is when the radicand equals 0
5x=0
Rewrite the expression
x=0
x=0x=0
Find the union
x=0
Check if the solution is in the defined range
x=0,x≥0
Solution
x=0
Show Solution
