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

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


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

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

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

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

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

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

Solving for variable 'k'.

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

Add '-3x' to each side of the equation.
-1k + kx + 3x + -3x + x2 = 0 + -3x

Combine like terms: 3x + -3x = 0
-1k + kx + 0 + x2 = 0 + -3x
-1k + kx + x2 = 0 + -3x
Remove the zero:
-1k + kx + x2 = -3x

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

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

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

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

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

The solution to this equation could not be determined.

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