k(11-k)+(12-k+1)=(k+1)(11-k+1)

Simple and best practice solution for k(11-k)+(12-k+1)=(k+1)(11-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 k(11-k)+(12-k+1)=(k+1)(11-k+1) equation: 


Simplifying
k(11 + -1k) + (12 + -1k + 1) = (k + 1)(11 + -1k + 1)
(11 * k + -1k * k) + (12 + -1k + 1) = (k + 1)(11 + -1k + 1)
(11k + -1k2) + (12 + -1k + 1) = (k + 1)(11 + -1k + 1)

Reorder the terms:
11k + -1k2 + (12 + 1 + -1k) = (k + 1)(11 + -1k + 1)

Combine like terms: 12 + 1 = 13
11k + -1k2 + (13 + -1k) = (k + 1)(11 + -1k + 1)

Remove parenthesis around (13 + -1k)
11k + -1k2 + 13 + -1k = (k + 1)(11 + -1k + 1)

Reorder the terms:
13 + 11k + -1k + -1k2 = (k + 1)(11 + -1k + 1)

Combine like terms: 11k + -1k = 10k
13 + 10k + -1k2 = (k + 1)(11 + -1k + 1)

Reorder the terms:
13 + 10k + -1k2 = (1 + k)(11 + -1k + 1)

Reorder the terms:
13 + 10k + -1k2 = (1 + k)(11 + 1 + -1k)

Combine like terms: 11 + 1 = 12
13 + 10k + -1k2 = (1 + k)(12 + -1k)

Multiply (1 + k) * (12 + -1k)
13 + 10k + -1k2 = (1(12 + -1k) + k(12 + -1k))
13 + 10k + -1k2 = ((12 * 1 + -1k * 1) + k(12 + -1k))
13 + 10k + -1k2 = ((12 + -1k) + k(12 + -1k))
13 + 10k + -1k2 = (12 + -1k + (12 * k + -1k * k))
13 + 10k + -1k2 = (12 + -1k + (12k + -1k2))

Combine like terms: -1k + 12k = 11k
13 + 10k + -1k2 = (12 + 11k + -1k2)

Add 'k2' to each side of the equation.
13 + 10k + -1k2 + k2 = 12 + 11k + -1k2 + k2

Combine like terms: -1k2 + k2 = 0
13 + 10k + 0 = 12 + 11k + -1k2 + k2
13 + 10k = 12 + 11k + -1k2 + k2

Combine like terms: -1k2 + k2 = 0
13 + 10k = 12 + 11k + 0
13 + 10k = 12 + 11k

Solving
13 + 10k = 12 + 11k

Solving for variable 'k'.

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

Add '-11k' to each side of the equation.
13 + 10k + -11k = 12 + 11k + -11k

Combine like terms: 10k + -11k = -1k
13 + -1k = 12 + 11k + -11k

Combine like terms: 11k + -11k = 0
13 + -1k = 12 + 0
13 + -1k = 12

Add '-13' to each side of the equation.
13 + -13 + -1k = 12 + -13

Combine like terms: 13 + -13 = 0
0 + -1k = 12 + -13
-1k = 12 + -13

Combine like terms: 12 + -13 = -1
-1k = -1

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

Simplifying
k = 1

See similar equations:

| 7x-0.96=6(x-0.67) | | 5x+2.9=6x+2.8 | | -6x+3.2=-3x+4.4 | | 5x+1.2=x+3.6 | | 5x-0.1=3x | | -2(x-1)=14 | | 16X^2=25 | | -7(5-4x)=189 | | 3x+0.6=x | | 35=5 | | 2x^2+1x-3=0 | | 35=-5 | | 4(x-6)=-52 | | 2(x+2)=-14 | | 3(x+9)=45 | | 2(x+2)=-8 | | 81x^2=25 | | 5(x-3)=-50 | | 3(x-8)=-45 | | 9x^2=16 | | 5(x+5)=40 | | 25x^2=36 | | 3(x-9)=-24 | | 5(x+7)=50 | | 15x-3(x+6)=6 | | 4.2(x+3)=27 | | -9x+2.2=-3x+7.0 | | 1.333w-12=.666w | | -5x+2.5=-3x+1.1 | | -3x-3.9=-7x-2.7 | | x^2(9x+5)(9x-5)=0 | | 8x-1.2=-9x+14.1 |

Equations solver categories