Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
−2y(2+3y2)
Evaluate
−4y−6y3
Rewrite the expression
−2y×2−2y×3y2
Solution
−2y(2+3y2)
Show Solution
Find the roots
y1=−36i,y2=36i,y3=0
Alternative Form
y1≈−0.816497i,y2≈0.816497i,y3=0
Evaluate
(−4y−6y3)
To find the roots of the expression,set the expression equal to 0
−4y−6y3=0
Factor the expression
−2y(2+3y2)=0
Divide both sides
y(2+3y2)=0
Separate the equation into 2 possible cases
y=02+3y2=0
Solve the equation
More Steps
Evaluate
2+3y2=0
Move the constant to the right-hand side and change its sign
3y2=0−2
Removing 0 doesn't change the value,so remove it from the expression
3y2=−2
Divide both sides
33y2=3−2
Divide the numbers
y2=3−2
Use b−a=−ba=−ba to rewrite the fraction
y2=−32
Take the root of both sides of the equation and remember to use both positive and negative roots
y=±−32
Simplify the expression
More Steps
Evaluate
−32
Evaluate the power
32×−1
Evaluate the power
32×i
Evaluate the power
36i
y=±36i
Separate the equation into 2 possible cases
y=36iy=−36i
y=0y=36iy=−36i
Solution
y1=−36i,y2=36i,y3=0
Alternative Form
y1≈−0.816497i,y2≈0.816497i,y3=0
Show Solution