(k+7)(k+7)=169

Simple and best practice solution for (k+7)(k+7)=169 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+7)(k+7)=169 equation: 


Simplifying
(k + 7)(k + 7) = 169

Reorder the terms:
(7 + k)(k + 7) = 169

Reorder the terms:
(7 + k)(7 + k) = 169

Multiply (7 + k) * (7 + k)
(7(7 + k) + k(7 + k)) = 169
((7 * 7 + k * 7) + k(7 + k)) = 169
((49 + 7k) + k(7 + k)) = 169
(49 + 7k + (7 * k + k * k)) = 169
(49 + 7k + (7k + k2)) = 169

Combine like terms: 7k + 7k = 14k
(49 + 14k + k2) = 169

Solving
49 + 14k + k2 = 169

Solving for variable 'k'.

Reorder the terms:
49 + -169 + 14k + k2 = 169 + -169

Combine like terms: 49 + -169 = -120
-120 + 14k + k2 = 169 + -169

Combine like terms: 169 + -169 = 0
-120 + 14k + k2 = 0

Factor a trinomial.
(-20 + -1k)(6 + -1k) = 0


Subproblem 1
Set the factor '(-20 + -1k)' equal to zero and attempt to solve:

Simplifying
-20 + -1k = 0

Solving
-20 + -1k = 0

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

Add '20' to each side of the equation.
-20 + 20 + -1k = 0 + 20

Combine like terms: -20 + 20 = 0
0 + -1k = 0 + 20
-1k = 0 + 20

Combine like terms: 0 + 20 = 20
-1k = 20

Divide each side by '-1'.
k = -20

Simplifying
k = -20

Subproblem 2
Set the factor '(6 + -1k)' equal to zero and attempt to solve:

Simplifying
6 + -1k = 0

Solving
6 + -1k = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1k = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1k = 0 + -6
-1k = 0 + -6

Combine like terms: 0 + -6 = -6
-1k = -6

Divide each side by '-1'.
k = 6

Simplifying
k = 6
Solution
k = {-20, 6}

See similar equations:

| 9-94/13=c | | 4(6-p)=16 | | 8/12*1/1=k | | 12x+2=8x+13 | | 12x-6(x-1)=60 | | 8x^2+16y^2-48x+64y-124=0 | | 2x+14=50-3x | | -4(7-2x)=28 | | 2x+14=60-3x | | -5(8-3x)=20 | | 56=3x+(2x+2) | | -6(7-3x)=30 | | (x-4)(x-4)-147=0 | | 0=7(9-x) | | 25/7+21/21=w | | 4x(2x^2-7x+3)= | | -64=8(7-x) | | x=7+21 | | 13t-8-9t=8 | | 15y+20=105 | | -32c+8-52=100 | | x/29=26/58 | | 14n+21=91 | | -2x^2(4x-3)= | | 8k+160=52 | | 3/9*6/7=j | | (7x-9)+(3x+14)= | | 4x^2+4y^2-14x+16y-28=0 | | 8k+20=52 | | 8f-12+3=39 | | x^2+188x+36=-9 | | y=24+-2x+-1x^2 |

Equations solver categories