4n^2+9=409

Simple and best practice solution for 4n^2+9=409 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 4n^2+9=409 equation: 


Simplifying
4n2 + 9 = 409

Reorder the terms:
9 + 4n2 = 409

Solving
9 + 4n2 = 409

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + 4n2 = 409 + -9

Combine like terms: 9 + -9 = 0
0 + 4n2 = 409 + -9
4n2 = 409 + -9

Combine like terms: 409 + -9 = 400
4n2 = 400

Divide each side by '4'.
n2 = 100

Simplifying
n2 = 100

Take the square root of each side:
n = {-10, 10}

See similar equations:

| 500-15=800-35x | | 8*8*8a-5*5*5a= | | 9+.50x=12+.25x | | X+54=3x+34 | | 3(m+4)=2(3m+6) | | 3g-21=2g+20 | | 3x^2-x-184= | | 20t^2+t-21=0 | | 0.01x(5-0.2x)=0.75+0.198x | | 5-3(3-7)=2(2-x)-8 | | 4(-2x-7)+3(2x-3)=17 | | N+13=-12 | | 7+2.5x=1.5 | | 120+(4x+80)=180 | | 2p^2+9=99 | | 8x-94=126-3x | | a=bn | | 5(3x+6)+2x= | | 9-5q=6-8q | | 2+x=3x-1 | | 4(-2-7)+3(2x-3)=17 | | -6.8(2y+4)-2.7(3y-6)= | | 10x^2+43x+33=0 | | 7x+28x-9=(5x-9) | | -12q=-125 | | 2y-2x=18 | | -6r=4r | | 13=-11+6x | | 72=4(3x+3) | | 7[4+m]=49 | | X+y=8p | | y+1=-4(x-3) |

Equations solver categories