3n^3=12n^2

Simple and best practice solution for 3n^3=12n^2 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 3n^3=12n^2 equation:


Simplifying
3n3 = 12n2

Solving
3n3 = 12n2

Solving for variable 'n'.

Reorder the terms:
-12n2 + 3n3 = 12n2 + -12n2

Combine like terms: 12n2 + -12n2 = 0
-12n2 + 3n3 = 0

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

Ignore the factor 3.

Subproblem 1

Set the factor 'n2' equal to zero and attempt to solve: Simplifying n2 = 0 Solving n2 = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n2 = 0 Take the square root of each side: n = {0}

Subproblem 2

Set the factor '(-4 + n)' equal to zero and attempt to solve: Simplifying -4 + n = 0 Solving -4 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + n = 0 + 4 Combine like terms: -4 + 4 = 0 0 + n = 0 + 4 n = 0 + 4 Combine like terms: 0 + 4 = 4 n = 4 Simplifying n = 4

Solution

n = {0, 4}

See similar equations:

| n+25=37 | | 60+2x=7x | | -29=9u | | (8+x)/2=10 | | 4t=-76 | | 25x^2-45x+10=0 | | -7x-6=43 | | x^4=13 | | 9p=-27 | | x^2+y^2+8-10y+25=0 | | 2x-9=-9 | | x^42=13 | | -2(3b+3)+(7b-8)=0 | | -5k^2+11k+52=4k | | 6=-6y+3(y+8) | | x-3=10x+30 | | 12x+16=12x-84 | | -7(-15)= | | -12x^2+x=3-4x^2+9x | | (3,-10)= | | 6x-3(x-1)=2x | | -10+4x=-10 | | 2x*3x=2 | | 9+x=5 | | 4(4-n)=6n-4 | | -6=x+3 | | Y-8=-16 | | 2.7q-2.6-1.8q=0.1q-4.3 | | 3r-8=32 | | 2m^2-9m-18=0 | | x^2+5x+5x+18=9 | | H=2r-16 |

Equations solver categories