6n(2-n)=20

Simple and best practice solution for 6n(2-n)=20 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 6n(2-n)=20 equation:


Simplifying
6n(2 + -1n) = 20
(2 * 6n + -1n * 6n) = 20
(12n + -6n2) = 20

Solving
12n + -6n2 = 20

Solving for variable 'n'.

Reorder the terms:
-20 + 12n + -6n2 = 20 + -20

Combine like terms: 20 + -20 = 0
-20 + 12n + -6n2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + 6n + -3n2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-10 + 6n + -3n2)' equal to zero and attempt to solve: Simplifying -10 + 6n + -3n2 = 0 Solving -10 + 6n + -3n2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 3.333333333 + -2n + n2 = 0 Move the constant term to the right: Add '-3.333333333' to each side of the equation. 3.333333333 + -2n + -3.333333333 + n2 = 0 + -3.333333333 Reorder the terms: 3.333333333 + -3.333333333 + -2n + n2 = 0 + -3.333333333 Combine like terms: 3.333333333 + -3.333333333 = 0.000000000 0.000000000 + -2n + n2 = 0 + -3.333333333 -2n + n2 = 0 + -3.333333333 Combine like terms: 0 + -3.333333333 = -3.333333333 -2n + n2 = -3.333333333 The n term is -2n. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2n + 1 + n2 = -3.333333333 + 1 Reorder the terms: 1 + -2n + n2 = -3.333333333 + 1 Combine like terms: -3.333333333 + 1 = -2.333333333 1 + -2n + n2 = -2.333333333 Factor a perfect square on the left side: (n + -1)(n + -1) = -2.333333333 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

See similar equations:

| 4(b-10)=450 | | (2x+6)=(4x-2) | | x(x)+20x+98=0 | | 1/54X=4 | | 7a+3a+15=4+7a+8 | | 13x-(2x-5)=93 | | 9/5y-2=10 | | 2x+15=2x-5 | | -4k+7=-20+5k | | 64x(x)-1=0 | | 20-11p=70 | | 21=9-6(6x-8) | | 4m+2=2m+16 | | 6x^2+3y^2+12y-6=0 | | 8x-24=2x+6x-24 | | -.75(3x+7)= | | 8.5/100=10.2/x | | M^4+43m^2-294=0 | | d-5= | | (3m-14)/4=m-8 | | 4x+8=4x-6 | | -3a-(-7a)-2a= | | -8r-2=-16-8r+7r | | -.25(3x+7)= | | 6=m/-9 | | m/18=-13 | | 3x+15=4(x-7) | | (X+4)+52=109 | | 9-2(4x+5)ifx=4 | | 6+2p=48 | | -p+176=4p-344 | | 30x(x)+6x=0 |

Equations solver categories