Question
Solve the equation
Solve for x
x=−2320
Alternative Form
x≈−1.357209
Evaluate
−2x3=5
Change the signs on both sides of the equation
2x3=−5
Divide both sides
22x3=2−5
Divide the numbers
x3=2−5
Use b−a=−ba=−ba to rewrite the fraction
x3=−25
Take the 3-th root on both sides of the equation
3x3=3−25
Calculate
x=3−25
Solution
More Steps

Evaluate
3−25
An odd root of a negative radicand is always a negative
−325
To take a root of a fraction,take the root of the numerator and denominator separately
−3235
Rewrite the expression
32−35
Multiply by the Conjugate
32×322−35×322
Simplify
32×322−35×34
Multiply the numbers
More Steps

Evaluate
−35×34
The product of roots with the same index is equal to the root of the product
−35×4
Calculate the product
−320
32×322−320
Multiply the numbers
More Steps

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
2−320
Calculate
−2320
x=−2320
Alternative Form
x≈−1.357209
Show Solution