Question
Solve the equation
x=−339
Alternative Form
x≈−0.693361
Evaluate
2x2×6x=−4
Multiply
More Steps

Evaluate
2x2×6x
Multiply the terms
12x2×x
Multiply the terms with the same base by adding their exponents
12x2+1
Add the numbers
12x3
12x3=−4
Divide both sides
1212x3=12−4
Divide the numbers
x3=12−4
Divide the numbers
More Steps

Evaluate
12−4
Cancel out the common factor 4
3−1
Use b−a=−ba=−ba to rewrite the fraction
−31
x3=−31
Take the 3-th root on both sides of the equation
3x3=3−31
Calculate
x=3−31
Solution
More Steps

Evaluate
3−31
An odd root of a negative radicand is always a negative
−331
To take a root of a fraction,take the root of the numerator and denominator separately
−3331
Simplify the radical expression
−331
Multiply by the Conjugate
33×332−332
Simplify
33×332−39
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
3−39
Calculate
−339
x=−339
Alternative Form
x≈−0.693361
Show Solution
