3n^2-19n-12=2

Simple and best practice solution for 3n^2-19n-12=2 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 3n^2-19n-12=2 equation:


Simplifying
3n2 + -19n + -12 = 2

Reorder the terms:
-12 + -19n + 3n2 = 2

Solving
-12 + -19n + 3n2 = 2

Solving for variable 'n'.

Reorder the terms:
-12 + -2 + -19n + 3n2 = 2 + -2

Combine like terms: -12 + -2 = -14
-14 + -19n + 3n2 = 2 + -2

Combine like terms: 2 + -2 = 0
-14 + -19n + 3n2 = 0

Factor a trinomial.
(-2 + -3n)(7 + -1n) = 0

Subproblem 1

Set the factor '(-2 + -3n)' equal to zero and attempt to solve: Simplifying -2 + -3n = 0 Solving -2 + -3n = 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 + -3n = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3n = 0 + 2 -3n = 0 + 2 Combine like terms: 0 + 2 = 2 -3n = 2 Divide each side by '-3'. n = -0.6666666667 Simplifying n = -0.6666666667

Subproblem 2

Set the factor '(7 + -1n)' equal to zero and attempt to solve: Simplifying 7 + -1n = 0 Solving 7 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1n = 0 + -7 -1n = 0 + -7 Combine like terms: 0 + -7 = -7 -1n = -7 Divide each side by '-1'. n = 7 Simplifying n = 7

Solution

n = {-0.6666666667, 7}

See similar equations:

| 4(x-1)=6x-12 | | 3Y-2=4Y+8 | | x=y^2-11 | | 5u^2-55u-8=0 | | -20+7x+3x^2=0 | | (c+3)(3c+10)=0 | | -3x-10x+8=0 | | 5u^2-55u=8 | | 4x-6=5x-2 | | 6x+8=4x+4 | | (5.3*7.2+5.3*x+7.2*x)=34.9 | | (5.3*7.2+5.3*x+7.2*x)=69.8 | | 54n+85m-5m*5r=450r | | =x+2 | | 57.99+0.11=58.54 | | 12k+3k-7k= | | 2(8c-5)= | | 6a+3ab-2a= | | 3x^2-5=25 | | -3x(x-4)=3 | | 7x^2(4x^3-1)= | | 4(x+3)=2(2x+4)+4 | | (2*5+2*x+5*x)=210 | | x^2+6x-7=-8+2x | | X^4+4=20 | | (2*5+2*x+5*x)=420 | | -6p-45=3 | | y=10x+8 | | 6x-(4x-4)= | | (6a)(3a^2)(4a^7)= | | -5m^4+5m= | | 4x^2+24x=28 |

Equations solver categories