Question
Solve the equation
x=633
Alternative Form
x≈0.240375
Evaluate
6x2×12x=1
Multiply
More Steps

Evaluate
6x2×12x
Multiply the terms
72x2×x
Multiply the terms with the same base by adding their exponents
72x2+1
Add the numbers
72x3
72x3=1
Divide both sides
7272x3=721
Divide the numbers
x3=721
Take the 3-th root on both sides of the equation
3x3=3721
Calculate
x=3721
Solution
More Steps

Evaluate
3721
To take a root of a fraction,take the root of the numerator and denominator separately
37231
Simplify the radical expression
3721
Simplify the radical expression
More Steps

Evaluate
372
Write the expression as a product where the root of one of the factors can be evaluated
38×9
Write the number in exponential form with the base of 2
323×9
The root of a product is equal to the product of the roots of each factor
323×39
Reduce the index of the radical and exponent with 3
239
2391
Multiply by the Conjugate
239×392392
Simplify
239×392333
Multiply the numbers
More Steps

Evaluate
239×392
Multiply the terms
2×32
Multiply the terms
18
18333
Cancel out the common factor 3
633
x=633
Alternative Form
x≈0.240375
Show Solution
