n^2-40-3n=0

Simple and best practice solution for n^2-40-3n=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^2-40-3n=0 equation: 


Simplifying
n2 + -40 + -3n = 0

Reorder the terms:
-40 + -3n + n2 = 0

Solving
-40 + -3n + n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-5 + -1n)(8 + -1n) = 0


Subproblem 1
Set the factor '(-5 + -1n)' equal to zero and attempt to solve:

Simplifying
-5 + -1n = 0

Solving
-5 + -1n = 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 + -1n = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1n = 0 + 5
-1n = 0 + 5

Combine like terms: 0 + 5 = 5
-1n = 5

Divide each side by '-1'.
n = -5

Simplifying
n = -5

Subproblem 2
Set the factor '(8 + -1n)' equal to zero and attempt to solve:

Simplifying
8 + -1n = 0

Solving
8 + -1n = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1n = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1n = 0 + -8
-1n = 0 + -8

Combine like terms: 0 + -8 = -8
-1n = -8

Divide each side by '-1'.
n = 8

Simplifying
n = 8
Solution
n = {-5, 8}

See similar equations:

| 2x^2+7=15x | | 3x+7=9x-42 | | y=0.189(x)+70.8 | | 50=-16t^2+100t | | 5x^2-13x-17=0 | | 14a+9a= | | ln(x+2)-ln(x-4)=ln(3) | | 2t+10-3= | | 11x^4-37x^26=0 | | 5=p+8 | | 6s+13s+13s= | | 12*2.2= | | 2v^2+3+7v=0 | | x+(x+4)+(x-30)=150 | | 2ln(6x)=13 | | s-30=-13 | | 3p+3=5+2p | | 2*3*2-2*3*1+1*2= | | 7+4(s-3t)= | | 5x^2-4x-10=0 | | (x+4)+(x-30)=150 | | -9x+7y=-2 | | x-17=21 | | 4x(5x^2+1)= | | X^4-x^3+15x^2-5x-42=0 | | -156=4(1+8n) | | 7(7b-4)=-420 | | -56=8n+8 | | -7=k-5 | | 4y=-7 | | 4-x=-6 | | -21=p-7 |

Equations solver categories