(k+1)x^2-(k+3)x+9=0

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Solution for (k+1)x^2-(k+3)x+9=0 equation: 


Simplifying
(k + 1) * x2 + -1(k + 3) * x + 9 = 0

Reorder the terms:
(1 + k) * x2 + -1(k + 3) * x + 9 = 0

Reorder the terms for easier multiplication:
x2(1 + k) + -1(k + 3) * x + 9 = 0
(1 * x2 + k * x2) + -1(k + 3) * x + 9 = 0

Reorder the terms:
(kx2 + 1x2) + -1(k + 3) * x + 9 = 0
(kx2 + 1x2) + -1(k + 3) * x + 9 = 0

Reorder the terms:
kx2 + 1x2 + -1(3 + k) * x + 9 = 0

Reorder the terms for easier multiplication:
kx2 + 1x2 + -1x(3 + k) + 9 = 0
kx2 + 1x2 + (3 * -1x + k * -1x) + 9 = 0

Reorder the terms:
kx2 + 1x2 + (-1kx + -3x) + 9 = 0
kx2 + 1x2 + (-1kx + -3x) + 9 = 0

Reorder the terms:
9 + -1kx + kx2 + -3x + 1x2 = 0

Solving
9 + -1kx + kx2 + -3x + 1x2 = 0

Solving for variable 'k'.

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

Add '-9' to each side of the equation.
9 + -1kx + kx2 + -3x + -9 + 1x2 = 0 + -9

Reorder the terms:
9 + -9 + -1kx + kx2 + -3x + 1x2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1kx + kx2 + -3x + 1x2 = 0 + -9
-1kx + kx2 + -3x + 1x2 = 0 + -9

Combine like terms: 0 + -9 = -9
-1kx + kx2 + -3x + 1x2 = -9

Add '3x' to each side of the equation.
-1kx + kx2 + -3x + 3x + 1x2 = -9 + 3x

Combine like terms: -3x + 3x = 0
-1kx + kx2 + 0 + 1x2 = -9 + 3x
-1kx + kx2 + 1x2 = -9 + 3x

Add '-1x2' to each side of the equation.
-1kx + kx2 + 1x2 + -1x2 = -9 + 3x + -1x2

Combine like terms: 1x2 + -1x2 = 0
-1kx + kx2 + 0 = -9 + 3x + -1x2
-1kx + kx2 = -9 + 3x + -1x2

Reorder the terms:
9 + -1kx + kx2 + -3x + x2 = -9 + 3x + -1x2 + 9 + -3x + x2

Reorder the terms:
9 + -1kx + kx2 + -3x + x2 = -9 + 9 + 3x + -3x + -1x2 + x2

Combine like terms: -9 + 9 = 0
9 + -1kx + kx2 + -3x + x2 = 0 + 3x + -3x + -1x2 + x2
9 + -1kx + kx2 + -3x + x2 = 3x + -3x + -1x2 + x2

Combine like terms: 3x + -3x = 0
9 + -1kx + kx2 + -3x + x2 = 0 + -1x2 + x2
9 + -1kx + kx2 + -3x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
9 + -1kx + kx2 + -3x + x2 = 0

The solution to this equation could not be determined.

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