(-2k+8)k=1

Simple and best practice solution for (-2k+8)k=1 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 (-2k+8)k=1 equation:


Simplifying
(-2k + 8) * k = 1

Reorder the terms:
(8 + -2k) * k = 1

Reorder the terms for easier multiplication:
k(8 + -2k) = 1
(8 * k + -2k * k) = 1
(8k + -2k2) = 1

Solving
8k + -2k2 = 1

Solving for variable 'k'.

Reorder the terms:
-1 + 8k + -2k2 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 8k + -2k2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
0.5 + -4k + k2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -4k + -0.5 + k2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -4k + k2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -4k + k2 = 0 + -0.5
-4k + k2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-4k + k2 = -0.5

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

Add '4' to each side of the equation.
-4k + 4 + k2 = -0.5 + 4

Reorder the terms:
4 + -4k + k2 = -0.5 + 4

Combine like terms: -0.5 + 4 = 3.5
4 + -4k + k2 = 3.5

Factor a perfect square on the left side:
(k + -2)(k + -2) = 3.5

Calculate the square root of the right side: 1.870828693

Break this problem into two subproblems by setting 
(k + -2) equal to 1.870828693 and -1.870828693.

Subproblem 1

k + -2 = 1.870828693 Simplifying k + -2 = 1.870828693 Reorder the terms: -2 + k = 1.870828693 Solving -2 + k = 1.870828693 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + k = 1.870828693 + 2 Combine like terms: -2 + 2 = 0 0 + k = 1.870828693 + 2 k = 1.870828693 + 2 Combine like terms: 1.870828693 + 2 = 3.870828693 k = 3.870828693 Simplifying k = 3.870828693

Subproblem 2

k + -2 = -1.870828693 Simplifying k + -2 = -1.870828693 Reorder the terms: -2 + k = -1.870828693 Solving -2 + k = -1.870828693 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + k = -1.870828693 + 2 Combine like terms: -2 + 2 = 0 0 + k = -1.870828693 + 2 k = -1.870828693 + 2 Combine like terms: -1.870828693 + 2 = 0.129171307 k = 0.129171307 Simplifying k = 0.129171307

Solution

The solution to the problem is based on the solutions from the subproblems. k = {3.870828693, 0.129171307}

See similar equations:

| -15t^2+135+10=280 | | (t^2-9+18)=0 | | (x)=3x^2-x-2 | | 10x=8x+1.5x | | -2*2+4(-3)= | | 5x^2+30x+40= | | 8x=260-1.5x | | 5x-1=5(x+3) | | 2x-6=2x+5 | | 1.5x+8x=260 | | y=fx+b | | (x)=-4x^2+22x-121 | | -15(t^2-8t+15)=0 | | 8x=260-60 | | (x)=X^2+2x+3 | | 4-4y-y^2=0 | | 3(2x-4)=5(x+2) | | 10b+3=-8-9b | | 8x+2y=260 | | (1-2a)(1-7a)= | | -7a+3+8a=7-25 | | 3x^3-x^2+12x-4= | | 27x^2-13x^2= | | (y-8)-(y+2)=7y | | 5x(x+4)=0 | | 13x-10=10x | | 6x-(4x+7)=7 | | (2+2)+2=12 | | 2+2+4+2=12 | | 0.8w+-0.4w+0.1w=3 | | 235(t)=-15t^2+120t+10 | | 10-5x=0 |

Equations solver categories