6n^2-12n-39=9

Simple and best practice solution for 6n^2-12n-39=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 6n^2-12n-39=9 equation:


Simplifying
6n2 + -12n + -39 = 9

Reorder the terms:
-39 + -12n + 6n2 = 9

Solving
-39 + -12n + 6n2 = 9

Solving for variable 'n'.

Reorder the terms:
-39 + -9 + -12n + 6n2 = 9 + -9

Combine like terms: -39 + -9 = -48
-48 + -12n + 6n2 = 9 + -9

Combine like terms: 9 + -9 = 0
-48 + -12n + 6n2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-8 + -2n + n2) = 0

Factor a trinomial.
6((-2 + -1n)(4 + -1n)) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(-2 + -1n)' equal to zero and attempt to solve: Simplifying -2 + -1n = 0 Solving -2 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1n = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1n = 0 + 2 -1n = 0 + 2 Combine like terms: 0 + 2 = 2 -1n = 2 Divide each side by '-1'. n = -2 Simplifying n = -2

Subproblem 2

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

Solution

n = {-2, 4}

See similar equations:

| E+H=23 | | b=(a+c) | | 0.02-0.3=x | | 2(3x-4)-7x+2=-15 | | 6x-12=4x-5 | | 9/10t=9 | | 4x+5x+3x=100 | | 2y+7(2y+20)=20 | | 3x^4+11x^3-40x^2-132x+48=0 | | 5+6x(x+2)=5y+8 | | F(0)=-x^2-6x+9 | | 6x^2=x^2+125 | | 3x^4+11x-40x^2-132x+48=0 | | 9-3(x+4)=12-6(x-1) | | 5=8/4 | | 7y+5=14 | | X^2-7x-408=0 | | 17ln(x)=20 | | 22x-2x=60 | | 17lnx=20 | | X/(-3)=-5 | | -a^2+7a+4= | | 6(x+2)-6=24 | | .1725= | | 12x+-14=76+9x | | 10x-102=-242 | | =.1725 | | 12x+-14=77+9x | | 14w^5+70w^4= | | 5/6x1/3 | | 12x+-14=78+9x | | -6=2(2x+1)-2x |

Equations solver categories