(k-x)(36-12x+x^2)-36=0

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Solution for (k-x)(36-12x+x^2)-36=0 equation: 


Simplifying
(k + -1x)(36 + -12x + x2) + -36 = 0

Multiply (k + -1x) * (36 + -12x + x2)
(k(36 + -12x + x2) + -1x * (36 + -12x + x2)) + -36 = 0
((36 * k + -12x * k + x2 * k) + -1x * (36 + -12x + x2)) + -36 = 0
((36k + -12kx + kx2) + -1x * (36 + -12x + x2)) + -36 = 0
(36k + -12kx + kx2 + (36 * -1x + -12x * -1x + x2 * -1x)) + -36 = 0
(36k + -12kx + kx2 + (-36x + 12x2 + -1x3)) + -36 = 0
(36k + -12kx + kx2 + -36x + 12x2 + -1x3) + -36 = 0

Reorder the terms:
-36 + 36k + -12kx + kx2 + -36x + 12x2 + -1x3 = 0

Solving
-36 + 36k + -12kx + kx2 + -36x + 12x2 + -1x3 = 0

Solving for variable 'k'.

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

Add '36' to each side of the equation.
-36 + 36k + -12kx + kx2 + -36x + 12x2 + 36 + -1x3 = 0 + 36

Reorder the terms:
-36 + 36 + 36k + -12kx + kx2 + -36x + 12x2 + -1x3 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 36k + -12kx + kx2 + -36x + 12x2 + -1x3 = 0 + 36
36k + -12kx + kx2 + -36x + 12x2 + -1x3 = 0 + 36

Combine like terms: 0 + 36 = 36
36k + -12kx + kx2 + -36x + 12x2 + -1x3 = 36

Add '36x' to each side of the equation.
36k + -12kx + kx2 + -36x + 12x2 + 36x + -1x3 = 36 + 36x

Reorder the terms:
36k + -12kx + kx2 + -36x + 36x + 12x2 + -1x3 = 36 + 36x

Combine like terms: -36x + 36x = 0
36k + -12kx + kx2 + 0 + 12x2 + -1x3 = 36 + 36x
36k + -12kx + kx2 + 12x2 + -1x3 = 36 + 36x

Add '-12x2' to each side of the equation.
36k + -12kx + kx2 + 12x2 + -12x2 + -1x3 = 36 + 36x + -12x2

Combine like terms: 12x2 + -12x2 = 0
36k + -12kx + kx2 + 0 + -1x3 = 36 + 36x + -12x2
36k + -12kx + kx2 + -1x3 = 36 + 36x + -12x2

Add 'x3' to each side of the equation.
36k + -12kx + kx2 + -1x3 + x3 = 36 + 36x + -12x2 + x3

Combine like terms: -1x3 + x3 = 0
36k + -12kx + kx2 + 0 = 36 + 36x + -12x2 + x3
36k + -12kx + kx2 = 36 + 36x + -12x2 + x3

Reorder the terms:
-36 + 36k + -12kx + kx2 + -36x + 12x2 + -1x3 = 36 + 36x + -12x2 + x3 + -36 + -36x + 12x2 + -1x3

Reorder the terms:
-36 + 36k + -12kx + kx2 + -36x + 12x2 + -1x3 = 36 + -36 + 36x + -36x + -12x2 + 12x2 + x3 + -1x3

Combine like terms: 36 + -36 = 0
-36 + 36k + -12kx + kx2 + -36x + 12x2 + -1x3 = 0 + 36x + -36x + -12x2 + 12x2 + x3 + -1x3
-36 + 36k + -12kx + kx2 + -36x + 12x2 + -1x3 = 36x + -36x + -12x2 + 12x2 + x3 + -1x3

Combine like terms: 36x + -36x = 0
-36 + 36k + -12kx + kx2 + -36x + 12x2 + -1x3 = 0 + -12x2 + 12x2 + x3 + -1x3
-36 + 36k + -12kx + kx2 + -36x + 12x2 + -1x3 = -12x2 + 12x2 + x3 + -1x3

Combine like terms: -12x2 + 12x2 = 0
-36 + 36k + -12kx + kx2 + -36x + 12x2 + -1x3 = 0 + x3 + -1x3
-36 + 36k + -12kx + kx2 + -36x + 12x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-36 + 36k + -12kx + kx2 + -36x + 12x2 + -1x3 = 0

The solution to this equation could not be determined.

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