(2k+1)x^2-8x+6=0

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Solution for (2k+1)x^2-8x+6=0 equation:


Simplifying
(2k + 1) * x2 + -8x + 6 = 0

Reorder the terms:
(1 + 2k) * x2 + -8x + 6 = 0

Reorder the terms for easier multiplication:
x2(1 + 2k) + -8x + 6 = 0
(1 * x2 + 2k * x2) + -8x + 6 = 0

Reorder the terms:
(2kx2 + 1x2) + -8x + 6 = 0
(2kx2 + 1x2) + -8x + 6 = 0

Reorder the terms:
6 + 2kx2 + -8x + 1x2 = 0

Solving
6 + 2kx2 + -8x + 1x2 = 0

Solving for variable 'k'.

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

Add '-6' to each side of the equation.
6 + 2kx2 + -8x + -6 + 1x2 = 0 + -6

Reorder the terms:
6 + -6 + 2kx2 + -8x + 1x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 2kx2 + -8x + 1x2 = 0 + -6
2kx2 + -8x + 1x2 = 0 + -6

Combine like terms: 0 + -6 = -6
2kx2 + -8x + 1x2 = -6

Add '8x' to each side of the equation.
2kx2 + -8x + 8x + 1x2 = -6 + 8x

Combine like terms: -8x + 8x = 0
2kx2 + 0 + 1x2 = -6 + 8x
2kx2 + 1x2 = -6 + 8x

Add '-1x2' to each side of the equation.
2kx2 + 1x2 + -1x2 = -6 + 8x + -1x2

Combine like terms: 1x2 + -1x2 = 0
2kx2 + 0 = -6 + 8x + -1x2
2kx2 = -6 + 8x + -1x2

Divide each side by '2x2'.
k = -3x-2 + 4x-1 + -0.5

Simplifying
k = -3x-2 + 4x-1 + -0.5

Reorder the terms:
k = -0.5 + -3x-2 + 4x-1

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