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

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


Simplifying
(k + 3) * x2 + kx + (k + -5) = 0

Reorder the terms:
(3 + k) * x2 + kx + (k + -5) = 0

Reorder the terms for easier multiplication:
x2(3 + k) + kx + (k + -5) = 0
(3 * x2 + k * x2) + kx + (k + -5) = 0

Reorder the terms:
(kx2 + 3x2) + kx + (k + -5) = 0
(kx2 + 3x2) + kx + (k + -5) = 0

Reorder the terms:
kx2 + 3x2 + kx + (-5 + k) = 0

Remove parenthesis around (-5 + k)
kx2 + 3x2 + kx + -5 + k = 0

Reorder the terms:
-5 + k + kx + kx2 + 3x2 = 0

Solving
-5 + k + kx + kx2 + 3x2 = 0

Solving for variable 'k'.

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

Add '5' to each side of the equation.
-5 + k + kx + kx2 + 5 + 3x2 = 0 + 5

Reorder the terms:
-5 + 5 + k + kx + kx2 + 3x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + k + kx + kx2 + 3x2 = 0 + 5
k + kx + kx2 + 3x2 = 0 + 5

Combine like terms: 0 + 5 = 5
k + kx + kx2 + 3x2 = 5

Add '-3x2' to each side of the equation.
k + kx + kx2 + 3x2 + -3x2 = 5 + -3x2

Combine like terms: 3x2 + -3x2 = 0
k + kx + kx2 + 0 = 5 + -3x2
k + kx + kx2 = 5 + -3x2

Reorder the terms:
-5 + k + kx + kx2 + 3x2 = 5 + -3x2 + -5 + 3x2

Reorder the terms:
-5 + k + kx + kx2 + 3x2 = 5 + -5 + -3x2 + 3x2

Combine like terms: 5 + -5 = 0
-5 + k + kx + kx2 + 3x2 = 0 + -3x2 + 3x2
-5 + k + kx + kx2 + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-5 + k + kx + kx2 + 3x2 = 0

The solution to this equation could not be determined.

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