Question
Solve the equation
x1=−33387,x2=0
Alternative Form
x1≈−2.429121,x2=0
Evaluate
3x4=−43x
Add or subtract both sides
3x4−(−43x)=0
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
3x4+43x=0
Factor the expression
x(3x3+43)=0
Separate the equation into 2 possible cases
x=03x3+43=0
Solve the equation
More Steps

Evaluate
3x3+43=0
Move the constant to the right-hand side and change its sign
3x3=0−43
Removing 0 doesn't change the value,so remove it from the expression
3x3=−43
Divide both sides
33x3=3−43
Divide the numbers
x3=3−43
Use b−a=−ba=−ba to rewrite the fraction
x3=−343
Take the 3-th root on both sides of the equation
3x3=3−343
Calculate
x=3−343
Simplify the root
More Steps

Evaluate
3−343
An odd root of a negative radicand is always a negative
−3343
To take a root of a fraction,take the root of the numerator and denominator separately
−33343
Multiply by the Conjugate
33×332−343×332
Simplify
33×332−343×39
Multiply the numbers
33×332−3387
Multiply the numbers
3−3387
Calculate
−33387
x=−33387
x=0x=−33387
Solution
x1=−33387,x2=0
Alternative Form
x1≈−2.429121,x2=0
Show Solution
