3x^2-2(k+1)x+k-3=0

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Solution for 3x^2-2(k+1)x+k-3=0 equation: 


Simplifying
3x2 + -2(k + 1) * x + k + -3 = 0

Reorder the terms:
3x2 + -2(1 + k) * x + k + -3 = 0

Reorder the terms for easier multiplication:
3x2 + -2x(1 + k) + k + -3 = 0
3x2 + (1 * -2x + k * -2x) + k + -3 = 0

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

Reorder the terms:
-3 + k + -2kx + -2x + 3x2 = 0

Solving
-3 + k + -2kx + -2x + 3x2 = 0

Solving for variable 'k'.

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

Add '3' to each side of the equation.
-3 + k + -2kx + -2x + 3 + 3x2 = 0 + 3

Reorder the terms:
-3 + 3 + k + -2kx + -2x + 3x2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + k + -2kx + -2x + 3x2 = 0 + 3
k + -2kx + -2x + 3x2 = 0 + 3

Combine like terms: 0 + 3 = 3
k + -2kx + -2x + 3x2 = 3

Add '2x' to each side of the equation.
k + -2kx + -2x + 2x + 3x2 = 3 + 2x

Combine like terms: -2x + 2x = 0
k + -2kx + 0 + 3x2 = 3 + 2x
k + -2kx + 3x2 = 3 + 2x

Add '-3x2' to each side of the equation.
k + -2kx + 3x2 + -3x2 = 3 + 2x + -3x2

Combine like terms: 3x2 + -3x2 = 0
k + -2kx + 0 = 3 + 2x + -3x2
k + -2kx = 3 + 2x + -3x2

Reorder the terms:
-3 + k + -2kx + -2x + 3x2 = 3 + 2x + -3x2 + -3 + -2x + 3x2

Reorder the terms:
-3 + k + -2kx + -2x + 3x2 = 3 + -3 + 2x + -2x + -3x2 + 3x2

Combine like terms: 3 + -3 = 0
-3 + k + -2kx + -2x + 3x2 = 0 + 2x + -2x + -3x2 + 3x2
-3 + k + -2kx + -2x + 3x2 = 2x + -2x + -3x2 + 3x2

Combine like terms: 2x + -2x = 0
-3 + k + -2kx + -2x + 3x2 = 0 + -3x2 + 3x2
-3 + k + -2kx + -2x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-3 + k + -2kx + -2x + 3x2 = 0

The solution to this equation could not be determined.

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