Question
Solve the equation
x=5375
Alternative Form
x≈0.843433
Evaluate
−3x2×5x=−9
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=−9
Change the signs on both sides of the equation
15x3=9
Divide both sides
1515x3=159
Divide the numbers
x3=159
Cancel out the common factor 3
x3=53
Take the 3-th root on both sides of the equation
3x3=353
Calculate
x=353
Solution
More Steps

Evaluate
353
To take a root of a fraction,take the root of the numerator and denominator separately
3533
Multiply by the Conjugate
35×35233×352
Simplify
35×35233×325
Multiply the numbers
More Steps

Evaluate
33×325
The product of roots with the same index is equal to the root of the product
33×25
Calculate the product
375
35×352375
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
5375
x=5375
Alternative Form
x≈0.843433
Show Solution
