Question
Solve the equation
x=103700
Alternative Form
x≈0.887904
Evaluate
5x2×6x=21
Multiply
More Steps

Evaluate
5x2×6x
Multiply the terms
30x2×x
Multiply the terms with the same base by adding their exponents
30x2+1
Add the numbers
30x3
30x3=21
Divide both sides
3030x3=3021
Divide the numbers
x3=3021
Cancel out the common factor 3
x3=107
Take the 3-th root on both sides of the equation
3x3=3107
Calculate
x=3107
Solution
More Steps

Evaluate
3107
To take a root of a fraction,take the root of the numerator and denominator separately
31037
Multiply by the Conjugate
310×310237×3102
Simplify
310×310237×3100
Multiply the numbers
More Steps

Evaluate
37×3100
The product of roots with the same index is equal to the root of the product
37×100
Calculate the product
3700
310×31023700
Multiply the numbers
More Steps

Evaluate
310×3102
The product of roots with the same index is equal to the root of the product
310×102
Calculate the product
3103
Reduce the index of the radical and exponent with 3
10
103700
x=103700
Alternative Form
x≈0.887904
Show Solution
