k^2-k-1=-2+k

Simple and best practice solution for k^2-k-1=-2+k 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-k-1=-2+k equation: 


Simplifying
k2 + -1k + -1 = -2 + k

Reorder the terms:
-1 + -1k + k2 = -2 + k

Solving
-1 + -1k + k2 = -2 + k

Solving for variable 'k'.

Reorder the terms:
-1 + 2 + -1k + -1k + k2 = -2 + k + 2 + -1k

Combine like terms: -1 + 2 = 1
1 + -1k + -1k + k2 = -2 + k + 2 + -1k

Combine like terms: -1k + -1k = -2k
1 + -2k + k2 = -2 + k + 2 + -1k

Reorder the terms:
1 + -2k + k2 = -2 + 2 + k + -1k

Combine like terms: -2 + 2 = 0
1 + -2k + k2 = 0 + k + -1k
1 + -2k + k2 = k + -1k

Combine like terms: k + -1k = 0
1 + -2k + k2 = 0

Factor a trinomial.
(1 + -1k)(1 + -1k) = 0


Subproblem 1
Set the factor '(1 + -1k)' equal to zero and attempt to solve:

Simplifying
1 + -1k = 0

Solving
1 + -1k = 0

Move all terms containing k to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1k = 0 + -1
-1k = 0 + -1

Combine like terms: 0 + -1 = -1
-1k = -1

Divide each side by '-1'.
k = 1

Simplifying
k = 1

Subproblem 2
Set the factor '(1 + -1k)' equal to zero and attempt to solve:

Simplifying
1 + -1k = 0

Solving
1 + -1k = 0

Move all terms containing k to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1k = 0 + -1
-1k = 0 + -1

Combine like terms: 0 + -1 = -1
-1k = -1

Divide each side by '-1'.
k = 1

Simplifying
k = 1
Solution
k = {1, 1}

See similar equations:

| 2(t-1)-5(4t-1)=4-6(5t+1) | | d=24ft | | 3x+4-7=18 | | M+5=pform | | -13-4x=2x-4 | | a^2+2a-13=2 | | 4x(3+x)= | | y-3=-.6(x-10) | | 2p^2-2p-24=0 | | 43X+6=1OX+72 | | X^2=6930 | | sin^3(x)=0.5 | | 7x-2-4x=x+2+x | | 2t+n=13 | | F(-2)=7x+5 | | -3n+8=20 | | 1/3x+15=1/9x+17 | | 3x^2+4xy+3y^2x=0 | | 2(x+5)+3=2x+8 | | x+57=2x | | -3(x-4)=-12 | | v+2.59=26 | | 0.12x+0.2(x-1)=0.01(5x-5) | | f+2f+(f+2.50)= | | 9(x-3)=x+5 | | 36+3x= | | 3(h-2)-1=2h+4(2+h) | | 720=9n | | 3p-5p-(p-3)=29 | | 9(x+9)+7=9x+9 | | .02-.05f=-.68+.3f | | 3(2b+3)2=36 |

Equations solver categories