k^2-k-3=-7k+4

Simple and best practice solution for k^2-k-3=-7k+4 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-k-3=-7k+4 equation: 


Simplifying
k2 + -1k + -3 = -7k + 4

Reorder the terms:
-3 + -1k + k2 = -7k + 4

Reorder the terms:
-3 + -1k + k2 = 4 + -7k

Solving
-3 + -1k + k2 = 4 + -7k

Solving for variable 'k'.

Reorder the terms:
-3 + -4 + -1k + 7k + k2 = 4 + -7k + -4 + 7k

Combine like terms: -3 + -4 = -7
-7 + -1k + 7k + k2 = 4 + -7k + -4 + 7k

Combine like terms: -1k + 7k = 6k
-7 + 6k + k2 = 4 + -7k + -4 + 7k

Reorder the terms:
-7 + 6k + k2 = 4 + -4 + -7k + 7k

Combine like terms: 4 + -4 = 0
-7 + 6k + k2 = 0 + -7k + 7k
-7 + 6k + k2 = -7k + 7k

Combine like terms: -7k + 7k = 0
-7 + 6k + k2 = 0

Factor a trinomial.
(-7 + -1k)(1 + -1k) = 0


Subproblem 1
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

Subproblem 2
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
Solution
k = {-7, 1}

See similar equations:

| 9x-30=78 | | -y-5y= | | 0.004x+0.006(50-x)=0.004(68) | | -5x-5y=0 | | 2m^2+7m=-6 | | -3x+16x= | | 3+12y-2=9y+64-6y | | -x^2=0 | | b^2=10b-25 | | 12r+34=-6r-(-9) | | -5x+10=65 | | h(4h+5)=84 | | 5n^2-3n-14=0 | | 164-4x=32x+16 | | x+x^2+4=x^2 | | M^2+3n+2=0 | | 3x^2+10x+1=0 | | 7x^2+4x-5=0 | | 6[12-(6-3a)-2a]=2(1-a) | | 3x^2+4x-8=0 | | 6[12-(6-3a)-2a]=2(-a) | | V^2+2v-4=-v | | 2(x+1)=x-3 | | -50-8x=9x+18 | | A+B-2ab=50 | | 2x^2+9x+1=0 | | x^2-7x+9=0 | | 4n+6n=60 | | 2x+72=7x+12 | | 5x^2+5x-2=0 | | x^2-5x-7=0 | | x^2-10x+5=0 |

Equations solver categories