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

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


Simplifying
(K + -12) * x2 + 2(k + -12) * x + 2 = 0

Reorder the terms:
(-12 + K) * x2 + 2(k + -12) * x + 2 = 0

Reorder the terms for easier multiplication:
x2(-12 + K) + 2(k + -12) * x + 2 = 0
(-12 * x2 + K * x2) + 2(k + -12) * x + 2 = 0
(-12x2 + x2K) + 2(k + -12) * x + 2 = 0

Reorder the terms:
-12x2 + x2K + 2(-12 + k) * x + 2 = 0

Reorder the terms for easier multiplication:
-12x2 + x2K + 2x(-12 + k) + 2 = 0
-12x2 + x2K + (-12 * 2x + k * 2x) + 2 = 0

Reorder the terms:
-12x2 + x2K + (2kx + -24x) + 2 = 0
-12x2 + x2K + (2kx + -24x) + 2 = 0

Reorder the terms:
2 + 2kx + -24x + -12x2 + x2K = 0

Solving
2 + 2kx + -24x + -12x2 + x2K = 0

Solving for variable 'k'.

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

Add '-2' to each side of the equation.
2 + 2kx + -24x + -12x2 + -2 + x2K = 0 + -2

Reorder the terms:
2 + -2 + 2kx + -24x + -12x2 + x2K = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 2kx + -24x + -12x2 + x2K = 0 + -2
2kx + -24x + -12x2 + x2K = 0 + -2

Combine like terms: 0 + -2 = -2
2kx + -24x + -12x2 + x2K = -2

Add '24x' to each side of the equation.
2kx + -24x + -12x2 + 24x + x2K = -2 + 24x

Reorder the terms:
2kx + -24x + 24x + -12x2 + x2K = -2 + 24x

Combine like terms: -24x + 24x = 0
2kx + 0 + -12x2 + x2K = -2 + 24x
2kx + -12x2 + x2K = -2 + 24x

Add '12x2' to each side of the equation.
2kx + -12x2 + 12x2 + x2K = -2 + 24x + 12x2

Combine like terms: -12x2 + 12x2 = 0
2kx + 0 + x2K = -2 + 24x + 12x2
2kx + x2K = -2 + 24x + 12x2

Add '-1x2K' to each side of the equation.
2kx + x2K + -1x2K = -2 + 24x + 12x2 + -1x2K

Combine like terms: x2K + -1x2K = 0
2kx + 0 = -2 + 24x + 12x2 + -1x2K
2kx = -2 + 24x + 12x2 + -1x2K

Divide each side by '2x'.
k = -1x-1 + 12 + 6x + -0.5xK

Simplifying
k = -1x-1 + 12 + 6x + -0.5xK

Reorder the terms:
k = 12 + -1x-1 + 6x + -0.5xK

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