k^2-8k=-7

Simple and best practice solution for k^2-8k=-7 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^2-8k=-7 equation: 


Simplifying
k2 + -8k = -7

Reorder the terms:
-8k + k2 = -7

Solving
-8k + k2 = -7

Solving for variable 'k'.

Reorder the terms:
7 + -8k + k2 = -7 + 7

Combine like terms: -7 + 7 = 0
7 + -8k + k2 = 0

Factor a trinomial.
(1 + -1k)(7 + -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 '(7 + -1k)' equal to zero and attempt to solve:

Simplifying
7 + -1k = 0

Solving
7 + -1k = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1k = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1k = 0 + -7
-1k = 0 + -7

Combine like terms: 0 + -7 = -7
-1k = -7

Divide each side by '-1'.
k = 7

Simplifying
k = 7
Solution
k = {1, 7}

See similar equations:

| 6x+5=-45-4x | | 24-4x=19-x | | 28y+5=13 | | (6-4x)2=36 | | n+4n=240 | | -t^2=5t-6 | | (v+5)(-3)= | | 5n=216 | | 3.14*x^2=9 | | 3x-9=25 | | 5(N)=216 | | log(50)=3-log(x) | | a=1/14(532) | | 5P+2B= | | 8x^9y^3+1000=0 | | 6x=11+7 | | 6x-54=12 | | 160+10logx=50 | | (5x+1)=33 | | -15X-9Y= | | 10+9y=3 | | 9z-12+3z=180 | | -7+3y=-28 | | 3ay^3-24a=0 | | -19x=19 | | 4x^4+3x-22=0 | | 4-8y=-52 | | 8x+8=-10 | | n-1=4 | | 4x+4y=42 | | 27(k+58)=227 | | -3(2x+2)=-2(3x-4) |

Equations solver categories