Question
Simplify the expression
−x2x3+3
Evaluate
x×16x3−2x2×4x−3
Multiply
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Multiply the terms
−2x2×4x
Multiply the terms
−8x2×x
Multiply the terms with the same base by adding their exponents
−8x2+1
Add the numbers
−8x3
x×16x3−8x3−3
Any expression multiplied by 1 remains the same
x6x3−8x3−3
Subtract the terms
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Evaluate
6x3−8x3−3
Subtract the terms
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Evaluate
6x3−8x3
Collect like terms by calculating the sum or difference of their coefficients
(6−8)x3
Subtract the numbers
−2x3
−2x3−3
x−2x3−3
Solution
−x2x3+3
Show Solution

Find the excluded values
x=0
Evaluate
x×16x3−2x2×4x−3
To find the excluded values,set the denominators equal to 0
x×1=0
Solution
x=0
Show Solution

Find the roots
x=−2312
Alternative Form
x≈−1.144714
Evaluate
x×16x3−2x2×4x−3
To find the roots of the expression,set the expression equal to 0
x×16x3−2x2×4x−3=0
Any expression multiplied by 1 remains the same
x×16x3−2x2×4x−3=0,x=0
Calculate
x×16x3−2x2×4x−3=0
Multiply
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Multiply the terms
2x2×4x
Multiply the terms
8x2×x
Multiply the terms with the same base by adding their exponents
8x2+1
Add the numbers
8x3
x×16x3−8x3−3=0
Subtract the terms
More Steps

Simplify
6x3−8x3
Collect like terms by calculating the sum or difference of their coefficients
(6−8)x3
Subtract the numbers
−2x3
x×1−2x3−3=0
Any expression multiplied by 1 remains the same
x−2x3−3=0
Cross multiply
−2x3−3=x×0
Simplify the equation
−2x3−3=0
Move the constant to the right side
−2x3=3
Change the signs on both sides of the equation
2x3=−3
Divide both sides
22x3=2−3
Divide the numbers
x3=2−3
Use b−a=−ba=−ba to rewrite the fraction
x3=−23
Take the 3-th root on both sides of the equation
3x3=3−23
Calculate
x=3−23
Simplify the root
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Evaluate
3−23
An odd root of a negative radicand is always a negative
−323
To take a root of a fraction,take the root of the numerator and denominator separately
−3233
Multiply by the Conjugate
32×322−33×322
Simplify
32×322−33×34
Multiply the numbers
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Evaluate
−33×34
The product of roots with the same index is equal to the root of the product
−33×4
Calculate the product
−312
32×322−312
Multiply the numbers
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Evaluate
32×322
The product of roots with the same index is equal to the root of the product
32×22
Calculate the product
323
Reduce the index of the radical and exponent with 3
2
2−312
Calculate
−2312
x=−2312
Check if the solution is in the defined range
x=−2312,x=0
Solution
x=−2312
Alternative Form
x≈−1.144714
Show Solution
