n^2=12-n

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


Simplifying
n2 = 12 + -1n

Solving
n2 = 12 + -1n

Solving for variable 'n'.

Reorder the terms:
-12 + n + n2 = 12 + -1n + -12 + n

Reorder the terms:
-12 + n + n2 = 12 + -12 + -1n + n

Combine like terms: 12 + -12 = 0
-12 + n + n2 = 0 + -1n + n
-12 + n + n2 = -1n + n

Combine like terms: -1n + n = 0
-12 + n + n2 = 0

Factor a trinomial.
(-4 + -1n)(3 + -1n) = 0

Subproblem 1

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

Subproblem 2

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

Solution

n = {-4, 3}

See similar equations:

| 5x(x-6)+3(x-6)= | | 2x(x-5)-9(x-5)= | | 7x(x-7)+2(x-7)= | | 5x(x-7)-4(x-7)= | | 21=a+8 | | 15-(x+9)=8x-3 | | 105/14 | | 8x^7y^5-6x^5y^5-2x^5y^4= | | 22x-40y=2a+4b | | 8x^4y^3+40x^3y^3= | | 55a=11b | | 6x^2-19x=10 | | 63x^2y-14xy^2= | | f(x)=0.5x-ln(x+3) | | x-7.3=2.4 | | 7xy^2-5ay+3xy-5y= | | 90x^2-63xy+45x= | | https://wcps6429-rolesvillehs-ccl.gradpoint.com/Resource/10568339,0/Assets/testitemimages/algebra_2a/linear_systems/mc024-1.jpg | | 30x^5+18x^4-12x^3= | | 8x+4=3x-1 | | s^3-9*s^2+26*s-24=0 | | 24uv-54vw+42uw= | | 25x^4+10x^3+20x= | | 15x^5-6x^2+9x= | | x/x-2-3/x | | 6/7÷1/8 | | 6/7÷1/8= | | 10x/3-2x/3 | | 5x-8/2=2x^2-2=0 | | y^2=4x-4 | | 14/3=7v | | 3/5w=21 |

Equations solver categories