Solve the equation $y^3+3y^2-4y=0$

Step-by-step Solution

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Final answer to the problem

$y=0,\:y=1,\:y=-4$
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Step-by-step Solution

How should I solve this problem?

  • Solve by factoring
  • Solve for y
  • Find the derivative using the definition
  • Solve by quadratic formula (general formula)
  • Simplify
  • Find the integral
  • Find the derivative
  • Factor
  • Factor by completing the square
  • Find the roots
  • Load more...
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1

Factor the polynomial $y^3+3y^2-4y$ by it's greatest common factor (GCF): $y$

$y\left(y^2+3y-4\right)=0$

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$y\left(y^2+3y-4\right)=0$

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Unlock the first 3 steps of this solution

Learn how to solve equations problems step by step online. Solve the equation y^3+3y^2-4y=0. Factor the polynomial y^3+3y^2-4y by it's greatest common factor (GCF): y. Factor the trinomial \left(y^2+3y-4\right) finding two numbers that multiply to form -4 and added form 3. Rewrite the polynomial as the product of two binomials consisting of the sum of the variable and the found values. Break the equation in 3 factors and set each factor equal to zero, to obtain simpler equations.

Final answer to the problem

$y=0,\:y=1,\:y=-4$

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Function Plot

Plotting: $y^3+3y^2-4y$

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Answer Assistant

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Go!
1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

How to improve your answer:

Main Topic: Equations

In mathematics, an equation is a statement of an equality containing one or more variables. Solving the equation consists of determining which values of the variables make the equality true. In this situation, variables are also known as unknowns and the values which satisfy the equality are known as solutions.

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