(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

Reorder the terms:
(kx2 + -12x2) + (2(k + -12)) * x + 2 = 0
(kx2 + -12x2) + (2(k + -12)) * x + 2 = 0

Reorder the terms:
kx2 + -12x2 + (2(-12 + k)) * x + 2 = 0
kx2 + -12x2 + ((-12 * 2 + k * 2)) * x + 2 = 0
kx2 + -12x2 + ((-24 + 2k)) * x + 2 = 0

Reorder the terms for easier multiplication:
kx2 + -12x2 + x(-24 + 2k) + 2 = 0
kx2 + -12x2 + (-24 * x + 2k * x) + 2 = 0

Reorder the terms:
kx2 + -12x2 + (2kx + -24x) + 2 = 0
kx2 + -12x2 + (2kx + -24x) + 2 = 0

Reorder the terms:
2 + 2kx + kx2 + -24x + -12x2 = 0

Solving
2 + 2kx + kx2 + -24x + -12x2 = 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 + kx2 + -24x + -2 + -12x2 = 0 + -2

Reorder the terms:
2 + -2 + 2kx + kx2 + -24x + -12x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 2kx + kx2 + -24x + -12x2 = 0 + -2
2kx + kx2 + -24x + -12x2 = 0 + -2

Combine like terms: 0 + -2 = -2
2kx + kx2 + -24x + -12x2 = -2

Add '24x' to each side of the equation.
2kx + kx2 + -24x + 24x + -12x2 = -2 + 24x

Combine like terms: -24x + 24x = 0
2kx + kx2 + 0 + -12x2 = -2 + 24x
2kx + kx2 + -12x2 = -2 + 24x

Add '12x2' to each side of the equation.
2kx + kx2 + -12x2 + 12x2 = -2 + 24x + 12x2

Combine like terms: -12x2 + 12x2 = 0
2kx + kx2 + 0 = -2 + 24x + 12x2
2kx + kx2 = -2 + 24x + 12x2

Reorder the terms:
2 + 2kx + kx2 + -24x + -12x2 = -2 + 24x + 12x2 + 2 + -24x + -12x2

Reorder the terms:
2 + 2kx + kx2 + -24x + -12x2 = -2 + 2 + 24x + -24x + 12x2 + -12x2

Combine like terms: -2 + 2 = 0
2 + 2kx + kx2 + -24x + -12x2 = 0 + 24x + -24x + 12x2 + -12x2
2 + 2kx + kx2 + -24x + -12x2 = 24x + -24x + 12x2 + -12x2

Combine like terms: 24x + -24x = 0
2 + 2kx + kx2 + -24x + -12x2 = 0 + 12x2 + -12x2
2 + 2kx + kx2 + -24x + -12x2 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
2 + 2kx + kx2 + -24x + -12x2 = 0

The solution to this equation could not be determined.

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