3n^2(n^2+3)=20-2n^2

Simple and best practice solution for 3n^2(n^2+3)=20-2n^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^2(n^2+3)=20-2n^2 equation: 


Simplifying
3n2(n2 + 3) = 20 + -2n2

Reorder the terms:
3n2(3 + n2) = 20 + -2n2
(3 * 3n2 + n2 * 3n2) = 20 + -2n2
(9n2 + 3n4) = 20 + -2n2

Solving
9n2 + 3n4 = 20 + -2n2

Solving for variable 'n'.

Reorder the terms:
-20 + 9n2 + 2n2 + 3n4 = 20 + -2n2 + -20 + 2n2

Combine like terms: 9n2 + 2n2 = 11n2
-20 + 11n2 + 3n4 = 20 + -2n2 + -20 + 2n2

Reorder the terms:
-20 + 11n2 + 3n4 = 20 + -20 + -2n2 + 2n2

Combine like terms: 20 + -20 = 0
-20 + 11n2 + 3n4 = 0 + -2n2 + 2n2
-20 + 11n2 + 3n4 = -2n2 + 2n2

Combine like terms: -2n2 + 2n2 = 0
-20 + 11n2 + 3n4 = 0

Factor a trinomial.
(-5 + -1n2)(4 + -3n2) = 0


Subproblem 1
Set the factor '(-5 + -1n2)' equal to zero and attempt to solve:

Simplifying
-5 + -1n2 = 0

Solving
-5 + -1n2 = 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 + -1n2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1n2 = 0 + 5
-1n2 = 0 + 5

Combine like terms: 0 + 5 = 5
-1n2 = 5

Divide each side by '-1'.
n2 = -5

Simplifying
n2 = -5

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(4 + -3n2)' equal to zero and attempt to solve:

Simplifying
4 + -3n2 = 0

Solving
4 + -3n2 = 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 + -3n2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3n2 = 0 + -4
-3n2 = 0 + -4

Combine like terms: 0 + -4 = -4
-3n2 = -4

Divide each side by '-3'.
n2 = 1.333333333

Simplifying
n2 = 1.333333333

Take the square root of each side:
n = {-1.154700538, 1.154700538}
Solution
n = {-1.154700538, 1.154700538}

See similar equations:

| -13=8b | | 2t^3+11t^2+15t=0 | | -6=-1+z/(-4) | | -x-6y=-16 | | 8X-(1-X)=3(1+3X)-4 | | 3(x-7)-6(4)=2(x-1) | | x^2y-36=0 | | 4(2x+1)=128 | | 12x=8-2+6 | | 40-4x=2(3x-10) | | 8x+560=10(40+x) | | -7x+2=-6 | | -5x+30=5x-30 | | 73-3y=6 | | -0.20t-2=4 | | n+5(1n-1)=7 | | -43p+8-3p-12=20+4p+4p | | 2.8r=16 | | x^2-11x-48=0 | | 400x+350x=1650 | | 4(3X+1)=26 | | 5+2n-2=8n+10-5n | | 3(3x+4)-2x-5-7=20 | | N+.75n=-2.19 | | -x+32=2x+11 | | 18z(3+2)=6 | | x-8y=-12 | | 55x+21-17x=165 | | m+3=12-2m | | 8s-13=4s-1 | | -2u^2+u+28=0 | | 3-3x=2x+33 |

Equations solver categories