Question
Solve the equation
x=−3318
Alternative Form
x≈−0.87358
Evaluate
2x2×24x=−32
Multiply
More Steps

Evaluate
2x2×24x
Multiply the terms
48x2×x
Multiply the terms with the same base by adding their exponents
48x2+1
Add the numbers
48x3
48x3=−32
Divide both sides
4848x3=48−32
Divide the numbers
x3=48−32
Divide the numbers
More Steps

Evaluate
48−32
Cancel out the common factor 16
3−2
Use b−a=−ba=−ba to rewrite the fraction
−32
x3=−32
Take the 3-th root on both sides of the equation
3x3=3−32
Calculate
x=3−32
Solution
More Steps

Evaluate
3−32
An odd root of a negative radicand is always a negative
−332
To take a root of a fraction,take the root of the numerator and denominator separately
−3332
Multiply by the Conjugate
33×332−32×332
Simplify
33×332−32×39
Multiply the numbers
More Steps

Evaluate
−32×39
The product of roots with the same index is equal to the root of the product
−32×9
Calculate the product
−318
33×332−318
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
3−318
Calculate
−3318
x=−3318
Alternative Form
x≈−0.87358
Show Solution
