Question
Solve the equation
x=−3239
Alternative Form
x≈−1.386723
Evaluate
3x2×x=−8
Multiply
More Steps

Evaluate
3x2×x
Multiply the terms with the same base by adding their exponents
3x2+1
Add the numbers
3x3
3x3=−8
Divide both sides
33x3=3−8
Divide the numbers
x3=3−8
Use b−a=−ba=−ba to rewrite the fraction
x3=−38
Take the 3-th root on both sides of the equation
3x3=3−38
Calculate
x=3−38
Solution
More Steps

Evaluate
3−38
An odd root of a negative radicand is always a negative
−338
To take a root of a fraction,take the root of the numerator and denominator separately
−3338
Simplify the radical expression
More Steps

Evaluate
38
Write the number in exponential form with the base of 2
323
Reduce the index of the radical and exponent with 3
2
−332
Multiply by the Conjugate
33×332−2332
Simplify
33×332−239
Multiply the numbers
More Steps

Evaluate
33×332
The product of roots with the same index is equal to the root of the product
33×32
Calculate the product
333
Reduce the index of the radical and exponent with 3
3
3−239
Calculate
−3239
x=−3239
Alternative Form
x≈−1.386723
Show Solution
