Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
−x(x2+4)
Evaluate
−x3−4x
Rewrite the expression
−x×x2−x×4
Solution
−x(x2+4)
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Find the roots
x1=−2i,x2=2i,x3=0
Evaluate
−x3−4x
To find the roots of the expression,set the expression equal to 0
−x3−4x=0
Factor the expression
−x(x2+4)=0
Divide both sides
x(x2+4)=0
Separate the equation into 2 possible cases
x=0x2+4=0
Solve the equation
More Steps
Evaluate
x2+4=0
Move the constant to the right-hand side and change its sign
x2=0−4
Removing 0 doesn't change the value,so remove it from the expression
x2=−4
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±−4
Simplify the expression
More Steps
Evaluate
−4
Evaluate the power
4×−1
Evaluate the power
4×i
Evaluate the square root
2i
x=±2i
Separate the equation into 2 possible cases
x=2ix=−2i
x=0x=2ix=−2i
Solution
x1=−2i,x2=2i,x3=0
Show Solution