k^2-12k+60=0

Simple and best practice solution for k^2-12k+60=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 k^2-12k+60=0 equation:


Simplifying
k2 + -12k + 60 = 0

Reorder the terms:
60 + -12k + k2 = 0

Solving
60 + -12k + k2 = 0

Solving for variable 'k'.

Begin completing the square.

Move the constant term to the right:

Add '-60' to each side of the equation.
60 + -12k + -60 + k2 = 0 + -60

Reorder the terms:
60 + -60 + -12k + k2 = 0 + -60

Combine like terms: 60 + -60 = 0
0 + -12k + k2 = 0 + -60
-12k + k2 = 0 + -60

Combine like terms: 0 + -60 = -60
-12k + k2 = -60

The k term is -12k.  Take half its coefficient (-6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
-12k + 36 + k2 = -60 + 36

Reorder the terms:
36 + -12k + k2 = -60 + 36

Combine like terms: -60 + 36 = -24
36 + -12k + k2 = -24

Factor a perfect square on the left side:
(k + -6)(k + -6) = -24

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 20 = b19 | | 5v+20=5(4+4v) | | 4x+2x-2=26 | | 12-7p=-43 | | 25d=925 | | v=4v | | 6k=-384 | | 4a-9=a | | 0=-x^2-4x+10 | | 2x-5(3-4x)+4= | | h+-253=228 | | 3x+2x+4=53 | | 3-2(x-4)=3x-4 | | 12-8=2 | | 16=2x+2x-2 | | 8p-16k=0 | | (81x^1/4)^5/4 | | p/6-2p-1/4=3/8 | | 4x+35=4x+89 | | 4(y+3)=4y+2 | | 4(y+3)=4y+1 | | 4(y+3)=4y+6 | | 4(y+3)=4y+5 | | x+(x+1)+(x+8)+(x+5)+(x+4)+(x+6)=150 | | 4(y+3)=4y+ | | 3-7x=27 | | 6x+6=2(3x+8) | | 2x+1=8x+1-6x | | 6n^2-78+252=0 | | 12c+6ac-2d+ac-10c= | | 3/7x-13=-25 | | (2x-5)(x-7)= |

Equations solver categories