a^2-4a+12=0

Simple and best practice solution for a^2-4a+12=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^2-4a+12=0 equation:


Simplifying
a2 + -4a + 12 = 0

Reorder the terms:
12 + -4a + a2 = 0

Solving
12 + -4a + a2 = 0

Solving for variable 'a'.

Begin completing the square.

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + -4a + -12 + a2 = 0 + -12

Reorder the terms:
12 + -12 + -4a + a2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -4a + a2 = 0 + -12
-4a + a2 = 0 + -12

Combine like terms: 0 + -12 = -12
-4a + a2 = -12

The a term is -4a.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4a + 4 + a2 = -12 + 4

Reorder the terms:
4 + -4a + a2 = -12 + 4

Combine like terms: -12 + 4 = -8
4 + -4a + a2 = -8

Factor a perfect square on the left side:
(a + -2)(a + -2) = -8

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 2x-21=2-5x | | (92+6)-81= | | -9+4x=11+6x | | -7x-4=3x+3 | | -x-47=3x+13 | | -4x-3=-11x+16 | | 5y+6+8x+(-2y)-(-x)= | | -x-11=-4x+13 | | ex^2+bx+c=0 | | -6x-30=3x+69 | | 48=-4x-x+3 | | 2y=5+1 | | -43+4x=17-2x | | 2x-1+7x=44 | | (2x+1)(x+1)=1 | | 2x+3(y+r)=2(x+y+3) | | (x+2)(x+i)(x-i)=0 | | -6-22=-3x+14 | | 5+5x-2x=29 | | 5y+6+8x+(-2y)-x= | | x+x+x+3+2x=23 | | -89-5x=31+3x | | 66=5x+7x+6 | | 2w-38=4(w-8) | | 7t-10=4t-1 | | 9x+14=16x+7 | | 16=4w-2w-2 | | -35+5x=-6x+31 | | 180-x-x=42 | | 4*0+8(-2)=0 | | -5x-5=6-6x | | Log(4*k-5)=log(2*k-5) |

Equations solver categories