Question
Simplify the expression
−5x3−4
Evaluate
−5x2×x−4
Solution
More Steps

Evaluate
−5x2×x
Multiply the terms with the same base by adding their exponents
−5x2+1
Add the numbers
−5x3
−5x3−4
Show Solution

Find the roots
x=−53100
Alternative Form
x≈−0.928318
Evaluate
−5x2×x−4
To find the roots of the expression,set the expression equal to 0
−5x2×x−4=0
Multiply
More Steps

Multiply the terms
−5x2×x
Multiply the terms with the same base by adding their exponents
−5x2+1
Add the numbers
−5x3
−5x3−4=0
Move the constant to the right-hand side and change its sign
−5x3=0+4
Removing 0 doesn't change the value,so remove it from the expression
−5x3=4
Change the signs on both sides of the equation
5x3=−4
Divide both sides
55x3=5−4
Divide the numbers
x3=5−4
Use b−a=−ba=−ba to rewrite the fraction
x3=−54
Take the 3-th root on both sides of the equation
3x3=3−54
Calculate
x=3−54
Solution
More Steps

Evaluate
3−54
An odd root of a negative radicand is always a negative
−354
To take a root of a fraction,take the root of the numerator and denominator separately
−3534
Multiply by the Conjugate
35×352−34×352
Simplify
35×352−34×325
Multiply the numbers
More Steps

Evaluate
−34×325
The product of roots with the same index is equal to the root of the product
−34×25
Calculate the product
−3100
35×352−3100
Multiply the numbers
More Steps

Evaluate
35×352
The product of roots with the same index is equal to the root of the product
35×52
Calculate the product
353
Reduce the index of the radical and exponent with 3
5
5−3100
Calculate
−53100
x=−53100
Alternative Form
x≈−0.928318
Show Solution
