Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
−y(7+2y3)
Evaluate
−7y−2y4
Rewrite the expression
−y×7−y×2y3
Solution
−y(7+2y3)
Show Solution
Find the roots
y1=−2328,y2=0
Alternative Form
y1≈−1.518294,y2=0
Evaluate
−7y−(2y4)
To find the roots of the expression,set the expression equal to 0
−7y−(2y4)=0
Multiply the terms
−7y−2y4=0
Factor the expression
−y(7+2y3)=0
Divide both sides
y(7+2y3)=0
Separate the equation into 2 possible cases
y=07+2y3=0
Solve the equation
More Steps
Evaluate
7+2y3=0
Move the constant to the right-hand side and change its sign
2y3=0−7
Removing 0 doesn't change the value,so remove it from the expression
2y3=−7
Divide both sides
22y3=2−7
Divide the numbers
y3=2−7
Use b−a=−ba=−ba to rewrite the fraction
y3=−27
Take the 3-th root on both sides of the equation
3y3=3−27
Calculate
y=3−27
Simplify the root
More Steps
Evaluate
3−27
An odd root of a negative radicand is always a negative
−327
To take a root of a fraction,take the root of the numerator and denominator separately
−3237
Multiply by the Conjugate
32×322−37×322
Simplify
32×322−37×34
Multiply the numbers
32×322−328
Multiply the numbers
2−328
Calculate
−2328
y=−2328
y=0y=−2328
Solution
y1=−2328,y2=0
Alternative Form
y1≈−1.518294,y2=0
Show Solution