4n^2+12n+56=0

Simple and best practice solution for 4n^2+12n+56=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 4n^2+12n+56=0 equation:


Simplifying
4n2 + 12n + 56 = 0

Reorder the terms:
56 + 12n + 4n2 = 0

Solving
56 + 12n + 4n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '4'.
4(14 + 3n + n2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(14 + 3n + n2)' equal to zero and attempt to solve: Simplifying 14 + 3n + n2 = 0 Solving 14 + 3n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '-14' to each side of the equation. 14 + 3n + -14 + n2 = 0 + -14 Reorder the terms: 14 + -14 + 3n + n2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 3n + n2 = 0 + -14 3n + n2 = 0 + -14 Combine like terms: 0 + -14 = -14 3n + n2 = -14 The n term is 3n. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3n + 2.25 + n2 = -14 + 2.25 Reorder the terms: 2.25 + 3n + n2 = -14 + 2.25 Combine like terms: -14 + 2.25 = -11.75 2.25 + 3n + n2 = -11.75 Factor a perfect square on the left side: (n + 1.5)(n + 1.5) = -11.75 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:

| x^2-2x+y^2+4Y=-1 | | -3=.5a-4 | | 7-(3x-5)-2x=-3 | | y=-2x^2-y | | 8a-3(2z+5)=a-1 | | -6=.5y-5 | | -10+6m=98 | | -3(1-2x)-6(x-1)=3 | | 9x-(x-9)=8(x+6)-2 | | sin(3x)+sin(6x)=0 | | 2e*2f+7e-5f= | | (27-x^2)^1/2 | | -4x-2=4x+2 | | 5u=u+24 | | -11x+9x-35=9 | | -11=1/5x-8 | | -16=-4-p | | 7x-(x+3)=6(x+4)-27 | | 2(5n+3)=8n+(n+3) | | -6(v-8)=78 | | 3(4x+1)=11x-2 | | 6(p+7)-7(p-2)=55 | | 6.7x+5=4.7x+9 | | -7-6z+1+10z=1 | | 20n=1 | | (1/2)4= | | -3(19x-4)+4(8x+1)=15 | | 8=4(2+p) | | 10x-6-3x=9+4x+6 | | 6-a=1/3(9a-19) | | 2(9x+32)=4(9x+34) | | 120=8(v+7) |

Equations solver categories