(5k+2)(5k+2)=8

Simple and best practice solution for (5k+2)(5k+2)=8 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 (5k+2)(5k+2)=8 equation: 


Simplifying
(5k + 2)(5k + 2) = 8

Reorder the terms:
(2 + 5k)(5k + 2) = 8

Reorder the terms:
(2 + 5k)(2 + 5k) = 8

Multiply (2 + 5k) * (2 + 5k)
(2(2 + 5k) + 5k * (2 + 5k)) = 8
((2 * 2 + 5k * 2) + 5k * (2 + 5k)) = 8
((4 + 10k) + 5k * (2 + 5k)) = 8
(4 + 10k + (2 * 5k + 5k * 5k)) = 8
(4 + 10k + (10k + 25k2)) = 8

Combine like terms: 10k + 10k = 20k
(4 + 20k + 25k2) = 8

Solving
4 + 20k + 25k2 = 8

Solving for variable 'k'.

Reorder the terms:
4 + -8 + 20k + 25k2 = 8 + -8

Combine like terms: 4 + -8 = -4
-4 + 20k + 25k2 = 8 + -8

Combine like terms: 8 + -8 = 0
-4 + 20k + 25k2 = 0

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

Divide each side by '25'.
-0.16 + 0.8k + k2 = 0

Move the constant term to the right:

Add '0.16' to each side of the equation.
-0.16 + 0.8k + 0.16 + k2 = 0 + 0.16

Reorder the terms:
-0.16 + 0.16 + 0.8k + k2 = 0 + 0.16

Combine like terms: -0.16 + 0.16 = 0.00
0.00 + 0.8k + k2 = 0 + 0.16
0.8k + k2 = 0 + 0.16

Combine like terms: 0 + 0.16 = 0.16
0.8k + k2 = 0.16

The k term is 0.8k.  Take half its coefficient (0.4).
Square it (0.16) and add it to both sides.

Add '0.16' to each side of the equation.
0.8k + 0.16 + k2 = 0.16 + 0.16

Reorder the terms:
0.16 + 0.8k + k2 = 0.16 + 0.16

Combine like terms: 0.16 + 0.16 = 0.32
0.16 + 0.8k + k2 = 0.32

Factor a perfect square on the left side:
(k + 0.4)(k + 0.4) = 0.32

Calculate the square root of the right side: 0.565685425

Break this problem into two subproblems by setting 
(k + 0.4) equal to 0.565685425 and -0.565685425.


Subproblem 1
k + 0.4 = 0.565685425

Simplifying
k + 0.4 = 0.565685425

Reorder the terms:
0.4 + k = 0.565685425

Solving
0.4 + k = 0.565685425

Solving for variable 'k'.

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

Add '-0.4' to each side of the equation.
0.4 + -0.4 + k = 0.565685425 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + k = 0.565685425 + -0.4
k = 0.565685425 + -0.4

Combine like terms: 0.565685425 + -0.4 = 0.165685425
k = 0.165685425

Simplifying
k = 0.165685425


Subproblem 2
k + 0.4 = -0.565685425

Simplifying
k + 0.4 = -0.565685425

Reorder the terms:
0.4 + k = -0.565685425

Solving
0.4 + k = -0.565685425

Solving for variable 'k'.

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

Add '-0.4' to each side of the equation.
0.4 + -0.4 + k = -0.565685425 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + k = -0.565685425 + -0.4
k = -0.565685425 + -0.4

Combine like terms: -0.565685425 + -0.4 = -0.965685425
k = -0.965685425

Simplifying
k = -0.965685425


Solution
The solution to the problem is based on the solutions
from the subproblems.
k = {0.165685425, -0.965685425}

See similar equations:

| (8a)(2a)= | | 5y-80+4+4=180 | | 15z-14z=3 | | -45+y(7)=-5 | | 5+7x=59+x | | x-4(7x-21)=6-(x-4) | | 2z-4-z=25 | | 3x^2+7x=-2 | | (5x-10)+3y=180 | | 20(x)+15(y)=250 | | 2a-3=9a-0 | | 4x+68=9x+13 | | 4x-9=8x-13 | | 5+2x=x-3 | | 10x+5=4x+29 | | 4y-7(y+20)=85 | | 9x-1+4x=5+4x+66 | | 7-10x=127-38x | | -102-9x=8x+17 | | C-7.6=4 | | 8x-24=72 | | 3-6(2-3X)=X-5 | | 6x-5=15x-113 | | 6x+10=10x-2 | | 9x-1+4=5+4x+66 | | 6x+50=42x+38 | | 4x+3=4x+1 | | 3x+7=-13-7x | | 4x+28=12x-60 | | 101-2x=5x+17 | | y=4x+1 | | 6(a+4)=9a |

Equations solver categories