Question
6x2×x−2=0
Solve the equation
x=339
Alternative Form
x≈0.693361
Evaluate
6x2×x−2=0
Multiply
More Steps

Evaluate
6x2×x
Multiply the terms with the same base by adding their exponents
6x2+1
Add the numbers
6x3
6x3−2=0
Move the constant to the right-hand side and change its sign
6x3=0+2
Removing 0 doesn't change the value,so remove it from the expression
6x3=2
Divide both sides
66x3=62
Divide the numbers
x3=62
Cancel out the common factor 2
x3=31
Take the 3-th root on both sides of the equation
3x3=331
Calculate
x=331
Solution
More Steps

Evaluate
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
33×332332
Simplify
33×33239
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
339
x=339
Alternative Form
x≈0.693361
Show Solution
