5n^2+42n+49=0

Simple and best practice solution for 5n^2+42n+49=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 5n^2+42n+49=0 equation: 


Simplifying
5n2 + 42n + 49 = 0

Reorder the terms:
49 + 42n + 5n2 = 0

Solving
49 + 42n + 5n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(7 + n)(7 + 5n) = 0


Subproblem 1
Set the factor '(7 + n)' equal to zero and attempt to solve:

Simplifying
7 + n = 0

Solving
7 + n = 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 + n = 0 + -7

Combine like terms: 7 + -7 = 0
0 + n = 0 + -7
n = 0 + -7

Combine like terms: 0 + -7 = -7
n = -7

Simplifying
n = -7

Subproblem 2
Set the factor '(7 + 5n)' equal to zero and attempt to solve:

Simplifying
7 + 5n = 0

Solving
7 + 5n = 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 + 5n = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 5n = 0 + -7
5n = 0 + -7

Combine like terms: 0 + -7 = -7
5n = -7

Divide each side by '5'.
n = -1.4

Simplifying
n = -1.4
Solution
n = {-7, -1.4}

See similar equations:

| 5x-3=4x-4 | | -4v+1/5=-7/3v-7/5 | | 3n^2-30n+72=0 | | 12x-4(3x)=7 | | 3x^2+17x-8=-2 | | 7x-11=-18+3x | | 6m+(-12)=60 | | 0.3(x+9)+5=67 | | 0.3(x+9)+=67 | | 45=10+x*5/2 | | -3x+3=-24 | | 2x+10y=-16 | | 18z^7-15z^4/3z^3 | | 9+5x=-36 | | -4x-10=-14 | | -10+4x=10 | | (4x)(x+5)=0 | | 1x^2-x-1=0 | | 8x-6=25 | | 4x-22=4x-22 | | y=-7(-13) | | 5.5+r^2=36+r^2 | | 6t=3(n+4)-t | | 3-4x=-3-x^2+4x | | 1/2(5x+2)=4 | | 3y=-12+15x | | 4h-8=3h+21 | | 5.5+2r=36+r^2 | | 3/4(x+8)=-2 | | -2x-3=-23 | | -1/4(X-8)+1/2(X+2) | | 10x^2=9x+7 |

Equations solver categories