Question
Solve the equation
x=−3336
Alternative Form
x≈−1.100642
Evaluate
2x2×3x=−8
Multiply
More Steps

Evaluate
2x2×3x
Multiply the terms
6x2×x
Multiply the terms with the same base by adding their exponents
6x2+1
Add the numbers
6x3
6x3=−8
Divide both sides
66x3=6−8
Divide the numbers
x3=6−8
Divide the numbers
More Steps

Evaluate
6−8
Cancel out the common factor 2
3−4
Use b−a=−ba=−ba to rewrite the fraction
−34
x3=−34
Take the 3-th root on both sides of the equation
3x3=3−34
Calculate
x=3−34
Solution
More Steps

Evaluate
3−34
An odd root of a negative radicand is always a negative
−334
To take a root of a fraction,take the root of the numerator and denominator separately
−3334
Multiply by the Conjugate
33×332−34×332
Simplify
33×332−34×39
Multiply the numbers
More Steps

Evaluate
−34×39
The product of roots with the same index is equal to the root of the product
−34×9
Calculate the product
−336
33×332−336
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
3−336
Calculate
−3336
x=−3336
Alternative Form
x≈−1.100642
Show Solution
