y(y-1)=12

Simple and best practice solution for y(y-1)=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(y-1)=12 equation:


Simplifying
y(y + -1) = 12

Reorder the terms:
y(-1 + y) = 12
(-1 * y + y * y) = 12
(-1y + y2) = 12

Solving
-1y + y2 = 12

Solving for variable 'y'.

Reorder the terms:
-12 + -1y + y2 = 12 + -12

Combine like terms: 12 + -12 = 0
-12 + -1y + y2 = 0

Factor a trinomial.
(-3 + -1y)(4 + -1y) = 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 '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4

Solution

y = {-3, 4}

See similar equations:

| y=-2x+50+300 | | Log(108)=Log(x+2)+Log(x-1) | | 5x^2+10x-2x-4= | | (8x-7)+(x-11)=90 | | 25+10x=3x+48 | | y-300=-2+50 | | (3x-7)+(11x-11)=90 | | 5-2(y+4)=6(3y-2) | | 7x^2+21x-5x-15= | | 2(x-7)+3(x-1)=4x | | 9x=300+8y | | 5-2(y+4)=6(3y+2) | | (7x-5)(x+3)= | | ln*(9*x+13)-ln*x=ln*10 | | 9x^2+63x-6x-42= | | 5z=-8 | | 7x+18y=208 | | y=-2*1/2+1 | | 9x^2-36x-13=0 | | e^2x-3e^2x+2=0 | | =4x^2tan(x) | | 9x^2-36x-14=0 | | .12xn=9 | | -20=3(v-5)-8v | | -5=-5/3(-3) | | x^2+8x=500 | | 77*34= | | (5x+5)+(3x+5)=90 | | 6[y-5]=2(10+3y) | | (5-v)(5v-6)=0 | | 3e^4x-2e^2x=0 | | 2d+3d-2=0 |

Equations solver categories