Question
Solve the equation
x=−2312
Alternative Form
x≈−1.144714
Evaluate
x2×6x=−9
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=−9
Divide both sides
66x3=6−9
Divide the numbers
x3=6−9
Divide the numbers
More Steps

Evaluate
6−9
Cancel out the common factor 3
2−3
Use b−a=−ba=−ba to rewrite the fraction
−23
x3=−23
Take the 3-th root on both sides of the equation
3x3=3−23
Calculate
x=3−23
Solution
More Steps

Evaluate
3−23
An odd root of a negative radicand is always a negative
−323
To take a root of a fraction,take the root of the numerator and denominator separately
−3233
Multiply by the Conjugate
32×322−33×322
Simplify
32×322−33×34
Multiply the numbers
More Steps

Evaluate
−33×34
The product of roots with the same index is equal to the root of the product
−33×4
Calculate the product
−312
32×322−312
Multiply the numbers
More Steps

Evaluate
32×322
The product of roots with the same index is equal to the root of the product
32×22
Calculate the product
323
Reduce the index of the radical and exponent with 3
2
2−312
Calculate
−2312
x=−2312
Alternative Form
x≈−1.144714
Show Solution
