Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
−x2(2+5x2)
Evaluate
−2x2−5x4
Rewrite the expression
−x2×2−x2×5x2
Solution
−x2(2+5x2)
Show Solution
Find the roots
x1=−510i,x2=510i,x3=0
Alternative Form
x1≈−0.632456i,x2≈0.632456i,x3=0
Evaluate
−2x2−5x4
To find the roots of the expression,set the expression equal to 0
−2x2−5x4=0
Factor the expression
−x2(2+5x2)=0
Divide both sides
x2(2+5x2)=0
Separate the equation into 2 possible cases
x2=02+5x2=0
The only way a power can be 0 is when the base equals 0
x=02+5x2=0
Solve the equation
More Steps
Evaluate
2+5x2=0
Move the constant to the right-hand side and change its sign
5x2=0−2
Removing 0 doesn't change the value,so remove it from the expression
5x2=−2
Divide both sides
55x2=5−2
Divide the numbers
x2=5−2
Use b−a=−ba=−ba to rewrite the fraction
x2=−52
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±−52
Simplify the expression
More Steps
Evaluate
−52
Evaluate the power
52×−1
Evaluate the power
52×i
Evaluate the power
510i
x=±510i
Separate the equation into 2 possible cases
x=510ix=−510i
x=0x=510ix=−510i
Solution
x1=−510i,x2=510i,x3=0
Alternative Form
x1≈−0.632456i,x2≈0.632456i,x3=0
Show Solution