3x^2-2(3k+2)x+8=0

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Solution for 3x^2-2(3k+2)x+8=0 equation:


Simplifying
3x2 + -2(3k + 2) * x + 8 = 0

Reorder the terms:
3x2 + -2(2 + 3k) * x + 8 = 0

Reorder the terms for easier multiplication:
3x2 + -2x(2 + 3k) + 8 = 0
3x2 + (2 * -2x + 3k * -2x) + 8 = 0

Reorder the terms:
3x2 + (-6kx + -4x) + 8 = 0
3x2 + (-6kx + -4x) + 8 = 0

Reorder the terms:
8 + -6kx + -4x + 3x2 = 0

Solving
8 + -6kx + -4x + 3x2 = 0

Solving for variable 'k'.

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

Add '-8' to each side of the equation.
8 + -6kx + -4x + -8 + 3x2 = 0 + -8

Reorder the terms:
8 + -8 + -6kx + -4x + 3x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -6kx + -4x + 3x2 = 0 + -8
-6kx + -4x + 3x2 = 0 + -8

Combine like terms: 0 + -8 = -8
-6kx + -4x + 3x2 = -8

Add '4x' to each side of the equation.
-6kx + -4x + 4x + 3x2 = -8 + 4x

Combine like terms: -4x + 4x = 0
-6kx + 0 + 3x2 = -8 + 4x
-6kx + 3x2 = -8 + 4x

Add '-3x2' to each side of the equation.
-6kx + 3x2 + -3x2 = -8 + 4x + -3x2

Combine like terms: 3x2 + -3x2 = 0
-6kx + 0 = -8 + 4x + -3x2
-6kx = -8 + 4x + -3x2

Divide each side by '-6x'.
k = 1.333333333x-1 + -0.6666666667 + 0.5x

Simplifying
k = 1.333333333x-1 + -0.6666666667 + 0.5x

Reorder the terms:
k = -0.6666666667 + 1.333333333x-1 + 0.5x

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