(16-2k)x^2+4(2-k)x+1=0

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Solution for (16-2k)x^2+4(2-k)x+1=0 equation:


Simplifying
(16 + -2k) * x2 + 4(2 + -1k) * x + 1 = 0

Reorder the terms for easier multiplication:
x2(16 + -2k) + 4(2 + -1k) * x + 1 = 0
(16 * x2 + -2k * x2) + 4(2 + -1k) * x + 1 = 0

Reorder the terms:
(-2kx2 + 16x2) + 4(2 + -1k) * x + 1 = 0
(-2kx2 + 16x2) + 4(2 + -1k) * x + 1 = 0

Reorder the terms for easier multiplication:
-2kx2 + 16x2 + 4x(2 + -1k) + 1 = 0
-2kx2 + 16x2 + (2 * 4x + -1k * 4x) + 1 = 0

Reorder the terms:
-2kx2 + 16x2 + (-4kx + 8x) + 1 = 0
-2kx2 + 16x2 + (-4kx + 8x) + 1 = 0

Reorder the terms:
1 + -4kx + -2kx2 + 8x + 16x2 = 0

Solving
1 + -4kx + -2kx2 + 8x + 16x2 = 0

Solving for variable 'k'.

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

Add '-1' to each side of the equation.
1 + -4kx + -2kx2 + 8x + -1 + 16x2 = 0 + -1

Reorder the terms:
1 + -1 + -4kx + -2kx2 + 8x + 16x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4kx + -2kx2 + 8x + 16x2 = 0 + -1
-4kx + -2kx2 + 8x + 16x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-4kx + -2kx2 + 8x + 16x2 = -1

Add '-8x' to each side of the equation.
-4kx + -2kx2 + 8x + -8x + 16x2 = -1 + -8x

Combine like terms: 8x + -8x = 0
-4kx + -2kx2 + 0 + 16x2 = -1 + -8x
-4kx + -2kx2 + 16x2 = -1 + -8x

Add '-16x2' to each side of the equation.
-4kx + -2kx2 + 16x2 + -16x2 = -1 + -8x + -16x2

Combine like terms: 16x2 + -16x2 = 0
-4kx + -2kx2 + 0 = -1 + -8x + -16x2
-4kx + -2kx2 = -1 + -8x + -16x2

Reorder the terms:
1 + -4kx + -2kx2 + 8x + 16x2 = -1 + -8x + -16x2 + 1 + 8x + 16x2

Reorder the terms:
1 + -4kx + -2kx2 + 8x + 16x2 = -1 + 1 + -8x + 8x + -16x2 + 16x2

Combine like terms: -1 + 1 = 0
1 + -4kx + -2kx2 + 8x + 16x2 = 0 + -8x + 8x + -16x2 + 16x2
1 + -4kx + -2kx2 + 8x + 16x2 = -8x + 8x + -16x2 + 16x2

Combine like terms: -8x + 8x = 0
1 + -4kx + -2kx2 + 8x + 16x2 = 0 + -16x2 + 16x2
1 + -4kx + -2kx2 + 8x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
1 + -4kx + -2kx2 + 8x + 16x2 = 0

The solution to this equation could not be determined.

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