Question
Solve the equation
x1=0,x2=6320
Alternative Form
x1=0,x2≈0.452403
Evaluate
5×27x=2x4
Multiply the terms
275x=2x4
Cross multiply
5x=27×2x4
Simplify the equation
5x=54x4
Add or subtract both sides
5x−54x4=0
Factor the expression
x(5−54x3)=0
Separate the equation into 2 possible cases
x=05−54x3=0
Solve the equation
More Steps

Evaluate
5−54x3=0
Move the constant to the right-hand side and change its sign
−54x3=0−5
Removing 0 doesn't change the value,so remove it from the expression
−54x3=−5
Change the signs on both sides of the equation
54x3=5
Divide both sides
5454x3=545
Divide the numbers
x3=545
Take the 3-th root on both sides of the equation
3x3=3545
Calculate
x=3545
Simplify the root
More Steps

Evaluate
3545
To take a root of a fraction,take the root of the numerator and denominator separately
35435
Simplify the radical expression
33235
Multiply by the Conjugate
332×32235×322
Simplify
332×32235×34
Multiply the numbers
332×322320
Multiply the numbers
6320
x=6320
x=0x=6320
Solution
x1=0,x2=6320
Alternative Form
x1=0,x2≈0.452403
Show Solution
