Question
Solve the equation
x=63252
Alternative Form
x≈1.052727
Evaluate
−7=−x2×6x
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
−7=−6x3
Swap the sides of the equation
−6x3=−7
Change the signs on both sides of the equation
6x3=7
Divide both sides
66x3=67
Divide the numbers
x3=67
Take the 3-th root on both sides of the equation
3x3=367
Calculate
x=367
Solution
More Steps

Evaluate
367
To take a root of a fraction,take the root of the numerator and denominator separately
3637
Multiply by the Conjugate
36×36237×362
Simplify
36×36237×336
Multiply the numbers
More Steps

Evaluate
37×336
The product of roots with the same index is equal to the root of the product
37×36
Calculate the product
3252
36×3623252
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
63252
x=63252
Alternative Form
x≈1.052727
Show Solution
