Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
−x(3x2+1)
Evaluate
−3x3−x
Rewrite the expression
−x×3x2−x
Solution
−x(3x2+1)
Show Solution
Find the roots
x1=−33i,x2=33i,x3=0
Alternative Form
x1≈−0.57735i,x2≈0.57735i,x3=0
Evaluate
−3x3−x
To find the roots of the expression,set the expression equal to 0
−3x3−x=0
Factor the expression
−x(3x2+1)=0
Divide both sides
x(3x2+1)=0
Separate the equation into 2 possible cases
x=03x2+1=0
Solve the equation
More Steps
Evaluate
3x2+1=0
Move the constant to the right-hand side and change its sign
3x2=0−1
Removing 0 doesn't change the value,so remove it from the expression
3x2=−1
Divide both sides
33x2=3−1
Divide the numbers
x2=3−1
Use b−a=−ba=−ba to rewrite the fraction
x2=−31
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±−31
Simplify the expression
More Steps
Evaluate
−31
Evaluate the power
31×−1
Evaluate the power
31×i
Evaluate the power
33i
x=±33i
Separate the equation into 2 possible cases
x=33ix=−33i
x=0x=33ix=−33i
Solution
x1=−33i,x2=33i,x3=0
Alternative Form
x1≈−0.57735i,x2≈0.57735i,x3=0
Show Solution