Question
Solve the equation
x=33225
Alternative Form
x≈2.027401
Evaluate
3x2×x−10=15
Multiply
More Steps

Evaluate
3x2×x
Multiply the terms with the same base by adding their exponents
3x2+1
Add the numbers
3x3
3x3−10=15
Move the constant to the right-hand side and change its sign
3x3=15+10
Add the numbers
3x3=25
Divide both sides
33x3=325
Divide the numbers
x3=325
Take the 3-th root on both sides of the equation
3x3=3325
Calculate
x=3325
Solution
More Steps

Evaluate
3325
To take a root of a fraction,take the root of the numerator and denominator separately
33325
Multiply by the Conjugate
33×332325×332
Simplify
33×332325×39
Multiply the numbers
More Steps

Evaluate
325×39
The product of roots with the same index is equal to the root of the product
325×9
Calculate the product
3225
33×3323225
Multiply the numbers
More Steps

Evaluate
33×332
The product of roots with the same index is equal to the root of the product
33×32
Calculate the product
333
Reduce the index of the radical and exponent with 3
3
33225
x=33225
Alternative Form
x≈2.027401
Show Solution
