0=y^3-6y^2-7y

Simple and best practice solution for 0=y^3-6y^2-7y equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 0=y^3-6y^2-7y equation: 


Simplifying
0 = y3 + -6y2 + -7y

Reorder the terms:
0 = -7y + -6y2 + y3

Solving
0 = -7y + -6y2 + y3

Solving for variable 'y'.
Remove the zero:
7y + 6y2 + -1y3 = -7y + -6y2 + y3 + 7y + 6y2 + -1y3

Reorder the terms:
7y + 6y2 + -1y3 = -7y + 7y + -6y2 + 6y2 + y3 + -1y3

Combine like terms: -7y + 7y = 0
7y + 6y2 + -1y3 = 0 + -6y2 + 6y2 + y3 + -1y3
7y + 6y2 + -1y3 = -6y2 + 6y2 + y3 + -1y3

Combine like terms: -6y2 + 6y2 = 0
7y + 6y2 + -1y3 = 0 + y3 + -1y3
7y + 6y2 + -1y3 = y3 + -1y3

Combine like terms: y3 + -1y3 = 0
7y + 6y2 + -1y3 = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(7 + 6y + -1y2) = 0

Factor a trinomial.
y((7 + -1y)(1 + y)) = 0


Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

Move all terms containing y to the left, all other terms to the right.

Simplifying
y = 0

Subproblem 2
Set the factor '(7 + -1y)' equal to zero and attempt to solve:

Simplifying
7 + -1y = 0

Solving
7 + -1y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -1y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1y = 0 + -7
-1y = 0 + -7

Combine like terms: 0 + -7 = -7
-1y = -7

Divide each side by '-1'.
y = 7

Simplifying
y = 7

Subproblem 3
Set the factor '(1 + y)' equal to zero and attempt to solve:

Simplifying
1 + y = 0

Solving
1 + y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + y = 0 + -1
y = 0 + -1

Combine like terms: 0 + -1 = -1
y = -1

Simplifying
y = -1
Solution
y = {0, 7, -1}

See similar equations:

| 2z^2+22z+36=0 | | 3a+2a= | | 4x^2+12x=72 | | 0=126m^2-113m-63 | | (8*x^4+2*x^3-5)-(2*x^2-8*x+2)= | | 0=70m^2-73m-35 | | 9x^2-15x+6=0 | | 5(2x+3)-7x=0 | | 2x+15=32 | | 7a(3a-4)=12 | | 4(y-1)=-3(x+4) | | 1.1x-0.66(5+x)=-4.52 | | 99x+12a*1695z=99a+12x | | 5x+2(2x+1)=23 | | 2(y+5)=-1(x-2) | | -12=5(k-2) | | x^2+-7x=60 | | 3(d+5)=23 | | -5a^2+31a=6 | | 1.5x-0.9x+2.1=4.5 | | 1.5x-0.9v+2.1=4.5 | | 34=-5-6v+3v | | 4x-7+2x=7 | | 100(50)=2x | | x-8.7=-5.2 | | 120(300)=45x | | 50=2 | | 6y^2+3y=5 | | -2x+5y=75 | | 0.5x+0.25x=6 | | 3(x-5)-12=2(x-6)+5 | | 14.5=5.5n-2 |

Equations solver categories