y(y+6)=-9

Simple and best practice solution for y(y+6)=-9 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 y(y+6)=-9 equation:


Simplifying
y(y + 6) = -9

Reorder the terms:
y(6 + y) = -9
(6 * y + y * y) = -9
(6y + y2) = -9

Solving
6y + y2 = -9

Solving for variable 'y'.

Reorder the terms:
9 + 6y + y2 = -9 + 9

Combine like terms: -9 + 9 = 0
9 + 6y + y2 = 0

Factor a trinomial.
(3 + y)(3 + y) = 0

Subproblem 1

Set the factor '(3 + y)' equal to zero and attempt to solve: Simplifying 3 + y = 0 Solving 3 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y = 0 + -3 y = 0 + -3 Combine like terms: 0 + -3 = -3 y = -3 Simplifying y = -3

Subproblem 2

Set the factor '(3 + y)' equal to zero and attempt to solve: Simplifying 3 + y = 0 Solving 3 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y = 0 + -3 y = 0 + -3 Combine like terms: 0 + -3 = -3 y = -3 Simplifying y = -3

Solution

y = {-3, -3}

See similar equations:

| (8-v)(4v+6)=0 | | 4y+15=55 | | 2(4x+3)-(x-5)=-3 | | 10(3x-7)-8(x+5)=0 | | x+8+2x+7=180 | | 2x+14=-35-10x | | 2-q^2=8+2q | | w+5=w+6 | | 2x-3x=77 | | x+8+2x+7=90 | | 6s^2-4s=2s | | 196b-7=35 | | (4x-1)+(6x+3)=180 | | 3x+39=10x-388 | | -21=m-14 | | -6-12=60 | | 12x-16=12x+1 | | 32-q^2=8+2q | | 2(x+2)-x=3(x-1)+9 | | 16a^2-25=0 | | -15+a=-2 | | -3(v+1)+7=4(v+1)-7 | | 14=2+n | | 10x=0.1x^2 | | 5=x^10 | | 6+3m-4=9m+5-3m | | 9y^3-4y=0 | | 5x-10=7x+14 | | 4(v+1)+v=3(v-2)+2 | | -37=x-18 | | 25000=x-.13x | | x^2+30x+6=0 |

Equations solver categories