0=y^2+6y-27

Simple and best practice solution for 0=y^2+6y-27 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^2+6y-27 equation:


Simplifying
0 = y2 + 6y + -27

Reorder the terms:
0 = -27 + 6y + y2

Solving
0 = -27 + 6y + y2

Solving for variable 'y'.

Combine like terms: 0 + 27 = 27
27 + -6y + -1y2 = -27 + 6y + y2 + 27 + -6y + -1y2

Reorder the terms:
27 + -6y + -1y2 = -27 + 27 + 6y + -6y + y2 + -1y2

Combine like terms: -27 + 27 = 0
27 + -6y + -1y2 = 0 + 6y + -6y + y2 + -1y2
27 + -6y + -1y2 = 6y + -6y + y2 + -1y2

Combine like terms: 6y + -6y = 0
27 + -6y + -1y2 = 0 + y2 + -1y2
27 + -6y + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
27 + -6y + -1y2 = 0

Factor a trinomial.
(3 + -1y)(9 + y) = 0

Subproblem 1

Set the factor '(3 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 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 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3

Subproblem 2

Set the factor '(9 + y)' equal to zero and attempt to solve: Simplifying 9 + y = 0 Solving 9 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + y = 0 + -9 y = 0 + -9 Combine like terms: 0 + -9 = -9 y = -9 Simplifying y = -9

Solution

y = {3, -9}

See similar equations:

| 4+18p-1=9p+99-7p | | 10+16g=-26 | | 3xn+6=-30 | | X^4+x^2-8=0 | | 43=7-15 | | (6+y)(2y+7)=0 | | 10x+17y=12 | | 13x^2+28x+12=0 | | 9x-6=10x+5 | | .8x=252 | | 5+4+2=x+8-1 | | 5(b-4)=8b-12 | | 4x-4=2x+10equation | | -2z^2+7z+4=0 | | 5h+7= | | -98=27 | | (y+2)=4(x-3) | | 6log(x)=-42 | | 5+35x=28x+17 | | 33+4(x-3)=7x-13 | | 2x-5y+3z=24 | | y-1700=200(x-4) | | -18+h=-28 | | y-200=1700(x-4) | | y-4=200(x-1700) | | 3(3y-9)=0 | | 10+b=17 | | 5x(4x^2-2x+3)= | | 55=65x | | 2(7x+4)=4x-6(-2-x)+7 | | 2x+7+3x-5=32 | | 12m+3n=-57 |

Equations solver categories