a^2+2a+224=0

Simple and best practice solution for a^2+2a+224=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 a^2+2a+224=0 equation:


Simplifying
a2 + 2a + 224 = 0

Reorder the terms:
224 + 2a + a2 = 0

Solving
224 + 2a + a2 = 0

Solving for variable 'a'.

Begin completing the square.

Move the constant term to the right:

Add '-224' to each side of the equation.
224 + 2a + -224 + a2 = 0 + -224

Reorder the terms:
224 + -224 + 2a + a2 = 0 + -224

Combine like terms: 224 + -224 = 0
0 + 2a + a2 = 0 + -224
2a + a2 = 0 + -224

Combine like terms: 0 + -224 = -224
2a + a2 = -224

The a term is 2a.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2a + 1 + a2 = -224 + 1

Reorder the terms:
1 + 2a + a2 = -224 + 1

Combine like terms: -224 + 1 = -223
1 + 2a + a2 = -223

Factor a perfect square on the left side:
(a + 1)(a + 1) = -223

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| x=(3x-14)+(-9x+8) | | -7z=14-8z | | -3/5b-1/10=7/20-710b | | 5a+6-3=7a-4 | | 8x-20=3x-8 | | 4c-3d= | | x=.0216+.42x+x^2 | | 3(2x+3)+2(x+1)=5(x+3)+2(x-1) | | 2x+4y=220 | | Ln5/ln5-2ln3 | | 18+2x=6+-4 | | q-25=35 | | 18+2x=6-4 | | 4x-18=14-4x | | 225=7x+18 | | 2(w-1)+7=5-3w | | -13-6x=-4x+17 | | k+8=45 | | 1/5x-2.5=-17.2 | | 7-6x=9-7x | | f(x)-2/x3-4/x2 | | F(x)=x-2/x | | a+5a+6=0 | | 2(u-9)=-5u+38 | | 9w-28=2(w+7) | | 8(y+4)=5y+35 | | 2x+9=y+6 | | log(6x)=1 | | 19x-23y=-3 | | 4(x-E)+6=42 | | 38=-8w+5(w+7) | | 7x+4=6x+68 |

Equations solver categories