y^2-6y=-12

Simple and best practice solution for y^2-6y=-12 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^2-6y=-12 equation:


Simplifying
y2 + -6y = -12

Reorder the terms:
-6y + y2 = -12

Solving
-6y + y2 = -12

Solving for variable 'y'.

Reorder the terms:
12 + -6y + y2 = -12 + 12

Combine like terms: -12 + 12 = 0
12 + -6y + y2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + -6y + -12 + y2 = 0 + -12

Reorder the terms:
12 + -12 + -6y + y2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -6y + y2 = 0 + -12
-6y + y2 = 0 + -12

Combine like terms: 0 + -12 = -12
-6y + y2 = -12

The y term is -6y.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6y + 9 + y2 = -12 + 9

Reorder the terms:
9 + -6y + y2 = -12 + 9

Combine like terms: -12 + 9 = -3
9 + -6y + y2 = -3

Factor a perfect square on the left side:
(y + -3)(y + -3) = -3

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| x-4/5(x+3)=1/x+3 | | 3(x^2)+6x+3=0 | | (x+2)(x+6)=21 | | 8(X-3)+8(X-3)=1*7 | | 15x^2+16x-1=0 | | 4(2-x)=6x-18 | | y-240=8(-20) | | 3(x+2)=5x-19 | | .3n-21=42.105 | | 5y/6=20/3 | | 2x+9=7x+2 | | 2y^2-9y-5/3y^2-16y+5 | | y+11=5/2(+11) | | 7/(x-3)+5x | | 1/2(5x-6)=7 | | xsqaured-100=0 | | 112-y=235 | | y-240=-17(-0) | | (-a^2+1)-(a^2-2)+(6a^2-7a+4)= | | (x/3)+(x/6)=1/4 | | y-6=2(-0) | | (7-v)(3v+1)=0 | | y-55=9(-5) | | 18m-12m=14+2 | | 120/420 | | 14y^2+12y=0 | | 0.84x=4 | | sqrt(x)=2 | | 7x+20=2(X+20) | | x^4-6x^3+14x^2-15x+6=0 | | x+4=5*(x^2) | | x+4=5*x^2 |

Equations solver categories