n(3n+17)+20=0

Simple and best practice solution for n(3n+17)+20=0 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(3n+17)+20=0 equation:


Simplifying
n(3n + 17) + 20 = 0

Reorder the terms:
n(17 + 3n) + 20 = 0
(17 * n + 3n * n) + 20 = 0
(17n + 3n2) + 20 = 0

Reorder the terms:
20 + 17n + 3n2 = 0

Solving
20 + 17n + 3n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(4 + n)(5 + 3n) = 0

Subproblem 1

Set the factor '(4 + n)' equal to zero and attempt to solve: Simplifying 4 + n = 0 Solving 4 + n = 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 + n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + n = 0 + -4 n = 0 + -4 Combine like terms: 0 + -4 = -4 n = -4 Simplifying n = -4

Subproblem 2

Set the factor '(5 + 3n)' equal to zero and attempt to solve: Simplifying 5 + 3n = 0 Solving 5 + 3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3n = 0 + -5 3n = 0 + -5 Combine like terms: 0 + -5 = -5 3n = -5 Divide each side by '3'. n = -1.666666667 Simplifying n = -1.666666667

Solution

n = {-4, -1.666666667}

See similar equations:

| 7x-15=71 | | 2x+9y=-10 | | 2(x-2/3)=6 | | 15x+40=5x+120 | | 9h-7=-34 | | 5h+-7=2(h+1) | | 3c+2+5c=-4 | | 3c+-6=18 | | 5.8(x-4)=-0.2x+18.8 | | 4-3ln*x=2 | | 72+k=-29 | | y=3(x-2)(x-5) | | X^4-12x^3+34x^2+12x-35=0 | | P-32=18 | | 27v^4-64v=0 | | -2=R+24 | | y=x^2+3x-9 | | 2x+14=81-28x | | D+-3=-14 | | (x+3)(x+15)=0 | | 19+-13p=-17p+-5 | | 0.7x^2-28x+12000=13014.30 | | -5(a+3)=-5a(-24) | | .03m+4=16 | | (3x-1)(x-7)= | | 3(2-0.9h)+(-1.3h-4)= | | -(x-5)=-5(x+7) | | -4(n+n+2)+13=7(-n+1) | | 4=-x+4 | | -3x+2(2+2m)=-1 | | -5(a+3)=(-5a)-24 | | -5(a+3)=-5a-24 |

Equations solver categories