Question
Solve the equation
x=−2314
Alternative Form
x≈−1.205071
Evaluate
4x3×2=−14
Multiply the terms
8x3=−14
Divide both sides
88x3=8−14
Divide the numbers
x3=8−14
Divide the numbers
More Steps

Evaluate
8−14
Cancel out the common factor 2
4−7
Use b−a=−ba=−ba to rewrite the fraction
−47
x3=−47
Take the 3-th root on both sides of the equation
3x3=3−47
Calculate
x=3−47
Solution
More Steps

Evaluate
3−47
An odd root of a negative radicand is always a negative
−347
To take a root of a fraction,take the root of the numerator and denominator separately
−3437
Multiply by the Conjugate
34×342−37×342
Simplify
34×342−37×232
Multiply the numbers
More Steps

Evaluate
−37×232
Multiply the terms
−314×2
Use the commutative property to reorder the terms
−2314
34×342−2314
Multiply the numbers
More Steps

Evaluate
34×342
The product of roots with the same index is equal to the root of the product
34×42
Calculate the product
343
Transform the expression
326
Reduce the index of the radical and exponent with 3
22
22−2314
Reduce the fraction
More Steps

Evaluate
22−2
Use the product rule aman=an−m to simplify the expression
22−1−1
Subtract the terms
21−1
Simplify
2−1
2−314
Calculate
−2314
x=−2314
Alternative Form
x≈−1.205071
Show Solution
