Question
Solve the equation
x=−3318
Alternative Form
x≈−0.87358
Evaluate
x2×6x=−4
Multiply
More Steps

Evaluate
x2×6x
Multiply the terms with the same base by adding their exponents
x2+1×6
Add the numbers
x3×6
Use the commutative property to reorder the terms
6x3
6x3=−4
Divide both sides
66x3=6−4
Divide the numbers
x3=6−4
Divide the numbers
More Steps

Evaluate
6−4
Cancel out the common factor 2
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
