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

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


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

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

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

Reorder the terms:
(kx2 + 3x2) + -2(k + 1) * x + -1(k + 1) = 0
(kx2 + 3x2) + -2(k + 1) * x + -1(k + 1) = 0

Reorder the terms:
kx2 + 3x2 + -2(1 + k) * x + -1(k + 1) = 0

Reorder the terms for easier multiplication:
kx2 + 3x2 + -2x(1 + k) + -1(k + 1) = 0
kx2 + 3x2 + (1 * -2x + k * -2x) + -1(k + 1) = 0

Reorder the terms:
kx2 + 3x2 + (-2kx + -2x) + -1(k + 1) = 0
kx2 + 3x2 + (-2kx + -2x) + -1(k + 1) = 0

Reorder the terms:
kx2 + 3x2 + -2kx + -2x + -1(1 + k) = 0
kx2 + 3x2 + -2kx + -2x + (1 * -1 + k * -1) = 0
kx2 + 3x2 + -2kx + -2x + (-1 + -1k) = 0

Reorder the terms:
-1 + -1k + -2kx + kx2 + -2x + 3x2 = 0

Solving
-1 + -1k + -2kx + kx2 + -2x + 3x2 = 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 + -1k + -2kx + kx2 + -2x + 1 + 3x2 = 0 + 1

Reorder the terms:
-1 + 1 + -1k + -2kx + kx2 + -2x + 3x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1k + -2kx + kx2 + -2x + 3x2 = 0 + 1
-1k + -2kx + kx2 + -2x + 3x2 = 0 + 1

Combine like terms: 0 + 1 = 1
-1k + -2kx + kx2 + -2x + 3x2 = 1

Add '2x' to each side of the equation.
-1k + -2kx + kx2 + -2x + 2x + 3x2 = 1 + 2x

Combine like terms: -2x + 2x = 0
-1k + -2kx + kx2 + 0 + 3x2 = 1 + 2x
-1k + -2kx + kx2 + 3x2 = 1 + 2x

Add '-3x2' to each side of the equation.
-1k + -2kx + kx2 + 3x2 + -3x2 = 1 + 2x + -3x2

Combine like terms: 3x2 + -3x2 = 0
-1k + -2kx + kx2 + 0 = 1 + 2x + -3x2
-1k + -2kx + kx2 = 1 + 2x + -3x2

Reorder the terms:
-1 + -1k + -2kx + kx2 + -2x + 3x2 = 1 + 2x + -3x2 + -1 + -2x + 3x2

Reorder the terms:
-1 + -1k + -2kx + kx2 + -2x + 3x2 = 1 + -1 + 2x + -2x + -3x2 + 3x2

Combine like terms: 1 + -1 = 0
-1 + -1k + -2kx + kx2 + -2x + 3x2 = 0 + 2x + -2x + -3x2 + 3x2
-1 + -1k + -2kx + kx2 + -2x + 3x2 = 2x + -2x + -3x2 + 3x2

Combine like terms: 2x + -2x = 0
-1 + -1k + -2kx + kx2 + -2x + 3x2 = 0 + -3x2 + 3x2
-1 + -1k + -2kx + kx2 + -2x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-1 + -1k + -2kx + kx2 + -2x + 3x2 = 0

The solution to this equation could not be determined.

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