Question
Solve the equation
x=53100
Alternative Form
x≈0.928318
Evaluate
3x2×5x=12
Multiply
More Steps

Evaluate
3x2×5x
Multiply the terms
15x2×x
Multiply the terms with the same base by adding their exponents
15x2+1
Add the numbers
15x3
15x3=12
Divide both sides
1515x3=1512
Divide the numbers
x3=1512
Cancel out the common factor 3
x3=54
Take the 3-th root on both sides of the equation
3x3=354
Calculate
x=354
Solution
More Steps

Evaluate
354
To take a root of a fraction,take the root of the numerator and denominator separately
3534
Multiply by the Conjugate
35×35234×352
Simplify
35×35234×325
Multiply the numbers
More Steps

Evaluate
34×325
The product of roots with the same index is equal to the root of the product
34×25
Calculate the product
3100
35×3523100
Multiply the numbers
More Steps

Evaluate
35×352
The product of roots with the same index is equal to the root of the product
35×52
Calculate the product
353
Reduce the index of the radical and exponent with 3
5
53100
x=53100
Alternative Form
x≈0.928318
Show Solution
