12n^3-8n^2+20n=0

Simple and best practice solution for 12n^3-8n^2+20n=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 12n^3-8n^2+20n=0 equation:


Simplifying
12n3 + -8n2 + 20n = 0

Reorder the terms:
20n + -8n2 + 12n3 = 0

Solving
20n + -8n2 + 12n3 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '4n'.
4n(5 + -2n + 3n2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0

Subproblem 2

Set the factor '(5 + -2n + 3n2)' equal to zero and attempt to solve: Simplifying 5 + -2n + 3n2 = 0 Solving 5 + -2n + 3n2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 1.666666667 + -0.6666666667n + n2 = 0 Move the constant term to the right: Add '-1.666666667' to each side of the equation. 1.666666667 + -0.6666666667n + -1.666666667 + n2 = 0 + -1.666666667 Reorder the terms: 1.666666667 + -1.666666667 + -0.6666666667n + n2 = 0 + -1.666666667 Combine like terms: 1.666666667 + -1.666666667 = 0.000000000 0.000000000 + -0.6666666667n + n2 = 0 + -1.666666667 -0.6666666667n + n2 = 0 + -1.666666667 Combine like terms: 0 + -1.666666667 = -1.666666667 -0.6666666667n + n2 = -1.666666667 The n term is -0.6666666667n. Take half its coefficient (-0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. -0.6666666667n + 0.1111111112 + n2 = -1.666666667 + 0.1111111112 Reorder the terms: 0.1111111112 + -0.6666666667n + n2 = -1.666666667 + 0.1111111112 Combine like terms: -1.666666667 + 0.1111111112 = -1.5555555558 0.1111111112 + -0.6666666667n + n2 = -1.5555555558 Factor a perfect square on the left side: (n + -0.3333333334)(n + -0.3333333334) = -1.5555555558 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.

Solution

n = {0}

See similar equations:

| y=(3x+4)+(2x-3) | | 9x-9x=8(12+12x)-8(6x+12) | | 4x+10=2x+16 | | (x-2).180=144x | | 8(x-2)=3 | | 8896.98-9908.98= | | 3(5x+4)= | | 12(y+3)=8 | | 5-67.89= | | 4567.877-977.88= | | X^2-4x-32=o | | 3x+8=-16-3x | | 84-10x/6=10x-8-6x | | 25-5x=9-9x | | 10-8(3x+2)=-12 | | 10(x-6)=20 | | 5a^2*6a^4= | | 3x+3(3x-3)+4=2x+6x-3+9 | | 28-10k+4=7k-70 | | 6(j-4)=14 | | 2x-0.25x=-2 | | 12t^2-75=0 | | 155-400= | | 16g-11g+15=-25 | | 3(x-2)(x+2)=15(x+2)+15(x-2) | | 2x+10=-6 | | x-.15x=142 | | 4b=-566 | | 2y-1=19 | | 5x+14z=90 | | 6+0.2c+08c=14 | | c*7.05+(8-c)*4.5=43.65 |

Equations solver categories