3n^2+7=4n-9

Simple and best practice solution for 3n^2+7=4n-9 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+7=4n-9 equation: 


Simplifying
3n2 + 7 = 4n + -9

Reorder the terms:
7 + 3n2 = 4n + -9

Reorder the terms:
7 + 3n2 = -9 + 4n

Solving
7 + 3n2 = -9 + 4n

Solving for variable 'n'.

Reorder the terms:
7 + 9 + -4n + 3n2 = -9 + 4n + 9 + -4n

Combine like terms: 7 + 9 = 16
16 + -4n + 3n2 = -9 + 4n + 9 + -4n

Reorder the terms:
16 + -4n + 3n2 = -9 + 9 + 4n + -4n

Combine like terms: -9 + 9 = 0
16 + -4n + 3n2 = 0 + 4n + -4n
16 + -4n + 3n2 = 4n + -4n

Combine like terms: 4n + -4n = 0
16 + -4n + 3n2 = 0

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
5.333333333 + -1.333333333n + n2 = 0

Move the constant term to the right:

Add '-5.333333333' to each side of the equation.
5.333333333 + -1.333333333n + -5.333333333 + n2 = 0 + -5.333333333

Reorder the terms:
5.333333333 + -5.333333333 + -1.333333333n + n2 = 0 + -5.333333333

Combine like terms: 5.333333333 + -5.333333333 = 0.000000000
0.000000000 + -1.333333333n + n2 = 0 + -5.333333333
-1.333333333n + n2 = 0 + -5.333333333

Combine like terms: 0 + -5.333333333 = -5.333333333
-1.333333333n + n2 = -5.333333333

The n term is -1.333333333n.  Take half its coefficient (-0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
-1.333333333n + 0.4444444442 + n2 = -5.333333333 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333n + n2 = -5.333333333 + 0.4444444442

Combine like terms: -5.333333333 + 0.4444444442 = -4.8888888888
0.4444444442 + -1.333333333n + n2 = -4.8888888888

Factor a perfect square on the left side:
(n + -0.6666666665)(n + -0.6666666665) = -4.8888888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 7x^2-5y^2=3 | | 6x-19=8x+11 | | 11.3x=3.75x+300 | | 3x+7y+8.2x+y+12= | | 3(r-4)-4(4r-8)-13r= | | AB*CD=950 | | 5/9x5/6 | | 8a-8-2(6+a)=4 | | 3.2x+7y+8.2x+y+12= | | x^2-13x-3618=0 | | 3a+2b=1.5(4a+b) | | 2z+8=z+2 | | -3/8-4/8= | | h=5t^2+45t+50 | | x^2+4y^2-4x+8y-8=0 | | 3t+88=180 | | 2x-4+cos(x)=0 | | 2x+4+cos(x)=0 | | 125+3x=28x | | 2x+3+3x+5+3x-1+5x-12=180 | | 0=3x^2-4x+5 | | 125+3x=38x | | ABCDEFG*HIJKLMN=135992737029 | | =8a+6b-5a-2b | | 10=2(x-7)-6x | | y=4/3x-2/3 | | 3m+1+2m+1=180 | | 40x+5(1.5x)=625 | | 3m+1=2m+1 | | y-2=(x+7) | | 8/13-y/9 | | 12x-61+7t=180 |

Equations solver categories