n(n-18)=-72

Simple and best practice solution for n(n-18)=-72 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(n-18)=-72 equation:


Simplifying
n(n + -18) = -72

Reorder the terms:
n(-18 + n) = -72
(-18 * n + n * n) = -72
(-18n + n2) = -72

Solving
-18n + n2 = -72

Solving for variable 'n'.

Reorder the terms:
72 + -18n + n2 = -72 + 72

Combine like terms: -72 + 72 = 0
72 + -18n + n2 = 0

Factor a trinomial.
(6 + -1n)(12 + -1n) = 0

Subproblem 1

Set the factor '(6 + -1n)' equal to zero and attempt to solve: Simplifying 6 + -1n = 0 Solving 6 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1n = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1n = 0 + -6 -1n = 0 + -6 Combine like terms: 0 + -6 = -6 -1n = -6 Divide each side by '-1'. n = 6 Simplifying n = 6

Subproblem 2

Set the factor '(12 + -1n)' equal to zero and attempt to solve: Simplifying 12 + -1n = 0 Solving 12 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1n = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1n = 0 + -12 -1n = 0 + -12 Combine like terms: 0 + -12 = -12 -1n = -12 Divide each side by '-1'. n = 12 Simplifying n = 12

Solution

n = {6, 12}

See similar equations:

| .1x+2.3=.7x+.5 | | 11x+y=10 | | 4(x-2)-2(x-4)=5(x+1)-3x | | 3x-8=5x+2 | | y=x^2+2x+1 | | x^2+8+10=0 | | 3x-15+2x=18+4x+25 | | (N-7)*4=32 | | (4y^2+6y-8)-(-9y+4)= | | 2+a=(2a-4) | | 10x+2=6x+3 | | x^18-y^21=0 | | 3x+5w=4 | | 2x+3=3x-1 | | 5(x-3)+18=28 | | (x+4)(2x+1)=4 | | 15-3n=6 | | 2(x-7)=5x+7 | | 2x+38=9x-18 | | 6x-9=39 | | -4x+2=-10 | | 8=5x+3+2x | | -2x-5=5 | | 3x+18=48-2x | | 4+6=12 | | x+4y=6v | | y=-2x^2+4x+3 | | 2x-10=22-2x | | 6(3a-4)+(3a+4)=5(a-2)-10 | | 5x-(-4x-1)=2 | | 2x+17=47-3x | | 3d-0.8=3d+4 |

Equations solver categories