Question
Solve the equation
x=−6336
Alternative Form
x≈−0.550321
Evaluate
2x2×3x=−1
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=−1
Divide both sides
66x3=6−1
Divide the numbers
x3=6−1
Use b−a=−ba=−ba to rewrite the fraction
x3=−61
Take the 3-th root on both sides of the equation
3x3=3−61
Calculate
x=3−61
Solution
More Steps

Evaluate
3−61
An odd root of a negative radicand is always a negative
−361
To take a root of a fraction,take the root of the numerator and denominator separately
−3631
Simplify the radical expression
−361
Multiply by the Conjugate
36×362−362
Simplify
36×362−336
Multiply the numbers
More Steps

Evaluate
36×362
The product of roots with the same index is equal to the root of the product
36×62
Calculate the product
363
Reduce the index of the radical and exponent with 3
6
6−336
Calculate
−6336
x=−6336
Alternative Form
x≈−0.550321
Show Solution
