(K+5)x^2-(2k-3)x+(k-11)=0

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Solution for (K+5)x^2-(2k-3)x+(k-11)=0 equation: 


Simplifying
(K + 5) * x2 + -1(2k + -3) * x + (k + -11) = 0

Reorder the terms:
(5 + K) * x2 + -1(2k + -3) * x + (k + -11) = 0

Reorder the terms for easier multiplication:
x2(5 + K) + -1(2k + -3) * x + (k + -11) = 0
(5 * x2 + K * x2) + -1(2k + -3) * x + (k + -11) = 0
(5x2 + x2K) + -1(2k + -3) * x + (k + -11) = 0

Reorder the terms:
5x2 + x2K + -1(-3 + 2k) * x + (k + -11) = 0

Reorder the terms for easier multiplication:
5x2 + x2K + -1x(-3 + 2k) + (k + -11) = 0
5x2 + x2K + (-3 * -1x + 2k * -1x) + (k + -11) = 0

Reorder the terms:
5x2 + x2K + (-2kx + 3x) + (k + -11) = 0
5x2 + x2K + (-2kx + 3x) + (k + -11) = 0

Reorder the terms:
5x2 + x2K + -2kx + 3x + (-11 + k) = 0

Remove parenthesis around (-11 + k)
5x2 + x2K + -2kx + 3x + -11 + k = 0

Reorder the terms:
-11 + k + -2kx + 3x + 5x2 + x2K = 0

Solving
-11 + k + -2kx + 3x + 5x2 + x2K = 0

Solving for variable 'k'.

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

Add '11' to each side of the equation.
-11 + k + -2kx + 3x + 5x2 + 11 + x2K = 0 + 11

Reorder the terms:
-11 + 11 + k + -2kx + 3x + 5x2 + x2K = 0 + 11

Combine like terms: -11 + 11 = 0
0 + k + -2kx + 3x + 5x2 + x2K = 0 + 11
k + -2kx + 3x + 5x2 + x2K = 0 + 11

Combine like terms: 0 + 11 = 11
k + -2kx + 3x + 5x2 + x2K = 11

Add '-3x' to each side of the equation.
k + -2kx + 3x + 5x2 + -3x + x2K = 11 + -3x

Reorder the terms:
k + -2kx + 3x + -3x + 5x2 + x2K = 11 + -3x

Combine like terms: 3x + -3x = 0
k + -2kx + 0 + 5x2 + x2K = 11 + -3x
k + -2kx + 5x2 + x2K = 11 + -3x

Add '-5x2' to each side of the equation.
k + -2kx + 5x2 + -5x2 + x2K = 11 + -3x + -5x2

Combine like terms: 5x2 + -5x2 = 0
k + -2kx + 0 + x2K = 11 + -3x + -5x2
k + -2kx + x2K = 11 + -3x + -5x2

Add '-1x2K' to each side of the equation.
k + -2kx + x2K + -1x2K = 11 + -3x + -5x2 + -1x2K

Combine like terms: x2K + -1x2K = 0
k + -2kx + 0 = 11 + -3x + -5x2 + -1x2K
k + -2kx = 11 + -3x + -5x2 + -1x2K

Reorder the terms:
-11 + k + -2kx + 3x + 5x2 + x2K = 11 + -3x + -5x2 + -1x2K + -11 + 3x + 5x2 + x2K

Reorder the terms:
-11 + k + -2kx + 3x + 5x2 + x2K = 11 + -11 + -3x + 3x + -5x2 + 5x2 + -1x2K + x2K

Combine like terms: 11 + -11 = 0
-11 + k + -2kx + 3x + 5x2 + x2K = 0 + -3x + 3x + -5x2 + 5x2 + -1x2K + x2K
-11 + k + -2kx + 3x + 5x2 + x2K = -3x + 3x + -5x2 + 5x2 + -1x2K + x2K

Combine like terms: -3x + 3x = 0
-11 + k + -2kx + 3x + 5x2 + x2K = 0 + -5x2 + 5x2 + -1x2K + x2K
-11 + k + -2kx + 3x + 5x2 + x2K = -5x2 + 5x2 + -1x2K + x2K

Combine like terms: -5x2 + 5x2 = 0
-11 + k + -2kx + 3x + 5x2 + x2K = 0 + -1x2K + x2K
-11 + k + -2kx + 3x + 5x2 + x2K = -1x2K + x2K

Combine like terms: -1x2K + x2K = 0
-11 + k + -2kx + 3x + 5x2 + x2K = 0

The solution to this equation could not be determined.

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