Question
Solve the equation
x=203900
Alternative Form
x≈0.482745
Evaluate
8x2×30x−27=0
Multiply
More Steps

Evaluate
8x2×30x
Multiply the terms
240x2×x
Multiply the terms with the same base by adding their exponents
240x2+1
Add the numbers
240x3
240x3−27=0
Move the constant to the right-hand side and change its sign
240x3=0+27
Removing 0 doesn't change the value,so remove it from the expression
240x3=27
Divide both sides
240240x3=24027
Divide the numbers
x3=24027
Cancel out the common factor 3
x3=809
Take the 3-th root on both sides of the equation
3x3=3809
Calculate
x=3809
Solution
More Steps

Evaluate
3809
To take a root of a fraction,take the root of the numerator and denominator separately
38039
Simplify the radical expression
More Steps

Evaluate
380
Write the expression as a product where the root of one of the factors can be evaluated
38×10
Write the number in exponential form with the base of 2
323×10
The root of a product is equal to the product of the roots of each factor
323×310
Reduce the index of the radical and exponent with 3
2310
231039
Multiply by the Conjugate
2310×310239×3102
Simplify
2310×310239×3100
Multiply the numbers
More Steps

Evaluate
39×3100
The product of roots with the same index is equal to the root of the product
39×100
Calculate the product
3900
2310×31023900
Multiply the numbers
More Steps

Evaluate
2310×3102
Multiply the terms
2×10
Multiply the terms
20
203900
x=203900
Alternative Form
x≈0.482745
Show Solution
