0.6=-6.1k+1.3k(2k+2)

Simple and best practice solution for 0.6=-6.1k+1.3k(2k+2) 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 0.6=-6.1k+1.3k(2k+2) equation:


Simplifying
0.6 = -6.1k + 1.3k(2k + 2)

Reorder the terms:
0.6 = -6.1k + 1.3k(2 + 2k)
0.6 = -6.1k + (2 * 1.3k + 2k * 1.3k)
0.6 = -6.1k + (2.6k + 2.6k2)

Combine like terms: -6.1k + 2.6k = -3.5k
0.6 = -3.5k + 2.6k2

Solving
0.6 = -3.5k + 2.6k2

Solving for variable 'k'.

Reorder the terms:
0.6 + 3.5k + -2.6k2 = -3.5k + 3.5k + 2.6k2 + -2.6k2

Combine like terms: -3.5k + 3.5k = 0.0
0.6 + 3.5k + -2.6k2 = 0.0 + 2.6k2 + -2.6k2
0.6 + 3.5k + -2.6k2 = 2.6k2 + -2.6k2

Combine like terms: 2.6k2 + -2.6k2 = 0.0
0.6 + 3.5k + -2.6k2 = 0.0

Begin completing the square.  Divide all terms by
-2.6 the coefficient of the squared term: 

Divide each side by '-2.6'.
-0.2307692308 + -1.346153846k + k2 = 0

Move the constant term to the right:

Add '0.2307692308' to each side of the equation.
-0.2307692308 + -1.346153846k + 0.2307692308 + k2 = 0 + 0.2307692308

Reorder the terms:
-0.2307692308 + 0.2307692308 + -1.346153846k + k2 = 0 + 0.2307692308

Combine like terms: -0.2307692308 + 0.2307692308 = 0.0000000000
0.0000000000 + -1.346153846k + k2 = 0 + 0.2307692308
-1.346153846k + k2 = 0 + 0.2307692308

Combine like terms: 0 + 0.2307692308 = 0.2307692308
-1.346153846k + k2 = 0.2307692308

The k term is -1.346153846k.  Take half its coefficient (-0.673076923).
Square it (0.4530325443) and add it to both sides.

Add '0.4530325443' to each side of the equation.
-1.346153846k + 0.4530325443 + k2 = 0.2307692308 + 0.4530325443

Reorder the terms:
0.4530325443 + -1.346153846k + k2 = 0.2307692308 + 0.4530325443

Combine like terms: 0.2307692308 + 0.4530325443 = 0.6838017751
0.4530325443 + -1.346153846k + k2 = 0.6838017751

Factor a perfect square on the left side:
(k + -0.673076923)(k + -0.673076923) = 0.6838017751

Calculate the square root of the right side: 0.826923077

Break this problem into two subproblems by setting 
(k + -0.673076923) equal to 0.826923077 and -0.826923077.

Subproblem 1

k + -0.673076923 = 0.826923077 Simplifying k + -0.673076923 = 0.826923077 Reorder the terms: -0.673076923 + k = 0.826923077 Solving -0.673076923 + k = 0.826923077 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.673076923' to each side of the equation. -0.673076923 + 0.673076923 + k = 0.826923077 + 0.673076923 Combine like terms: -0.673076923 + 0.673076923 = 0.000000000 0.000000000 + k = 0.826923077 + 0.673076923 k = 0.826923077 + 0.673076923 Combine like terms: 0.826923077 + 0.673076923 = 1.5 k = 1.5 Simplifying k = 1.5

Subproblem 2

k + -0.673076923 = -0.826923077 Simplifying k + -0.673076923 = -0.826923077 Reorder the terms: -0.673076923 + k = -0.826923077 Solving -0.673076923 + k = -0.826923077 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.673076923' to each side of the equation. -0.673076923 + 0.673076923 + k = -0.826923077 + 0.673076923 Combine like terms: -0.673076923 + 0.673076923 = 0.000000000 0.000000000 + k = -0.826923077 + 0.673076923 k = -0.826923077 + 0.673076923 Combine like terms: -0.826923077 + 0.673076923 = -0.153846154 k = -0.153846154 Simplifying k = -0.153846154

Solution

The solution to the problem is based on the solutions from the subproblems. k = {1.5, -0.153846154}

See similar equations:

| 5x+x=7+23 | | (-x^3)(-8x^2y)=0 | | 10(2t+2)-y=2(8y-8) | | (x+2)-2(2-4x)=5(x+4)-2 | | m+(m+2)+1/2(m+2)=201/2 | | =-16t^2+12t+1400 | | 27+6x=-6(x-1)-3 | | 5/x+5/2x=6(2x) | | 2(4/3w+2)+2w=18 | | -6-4x=-4(1+x) | | (y)(-4xy+7x+9)=0 | | 1300=-16t^2+12t+1300 | | 7+4x-9=(-6) | | 49.95+.15(m-200)=64.95 | | -24-4x=8(5x-3)-2x | | 2x-(x+1)=-2+3(x-5) | | 7h*(90-h)=210 | | 288=(x+4)10(x-1)+4x | | (15-2/x)/(x/5+4) | | y=4+0.7x | | 14x=21x-13 | | -3+6x=7(6+x)+8x | | x^2+625= | | x^2-625= | | 2(2y+2)-y=2(8y-8) | | 1.2x+14.6=3.4x-3 | | (7x+5)(x+2)=0 | | 7p+10+2p-1=180 | | 20=r+8-5r | | -3b^2+10b+8=0 | | 10=5/9(y-32) | | -18-6x=-6(5x-2)-6 |

Equations solver categories