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

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


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

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

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

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

Solving
3 + K + -1kx + 2x + x2 = 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 + -1kx + 2x + -3 + x2 = 0 + -3

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

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

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

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

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

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

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

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

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

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

Simplifying
K = -3 + kx + -2x + -1x2

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