(k+1)x^2+(6k+1)x+9k=5

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Solution for (k+1)x^2+(6k+1)x+9k=5 equation:


Simplifying
(k + 1) * x2 + (6k + 1) * x + 9k = 5

Reorder the terms:
(1 + k) * x2 + (6k + 1) * x + 9k = 5

Reorder the terms for easier multiplication:
x2(1 + k) + (6k + 1) * x + 9k = 5
(1 * x2 + k * x2) + (6k + 1) * x + 9k = 5

Reorder the terms:
(kx2 + 1x2) + (6k + 1) * x + 9k = 5
(kx2 + 1x2) + (6k + 1) * x + 9k = 5

Reorder the terms:
kx2 + 1x2 + (1 + 6k) * x + 9k = 5

Reorder the terms for easier multiplication:
kx2 + 1x2 + x(1 + 6k) + 9k = 5
kx2 + 1x2 + (1 * x + 6k * x) + 9k = 5

Reorder the terms:
kx2 + 1x2 + (6kx + 1x) + 9k = 5
kx2 + 1x2 + (6kx + 1x) + 9k = 5

Reorder the terms:
9k + 6kx + kx2 + 1x + 1x2 = 5

Solving
9k + 6kx + kx2 + 1x + 1x2 = 5

Solving for variable 'k'.

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

Add '-1x' to each side of the equation.
9k + 6kx + kx2 + 1x + -1x + 1x2 = 5 + -1x

Combine like terms: 1x + -1x = 0
9k + 6kx + kx2 + 0 + 1x2 = 5 + -1x
9k + 6kx + kx2 + 1x2 = 5 + -1x

Add '-1x2' to each side of the equation.
9k + 6kx + kx2 + 1x2 + -1x2 = 5 + -1x + -1x2

Combine like terms: 1x2 + -1x2 = 0
9k + 6kx + kx2 + 0 = 5 + -1x + -1x2
9k + 6kx + kx2 = 5 + -1x + -1x2

Reorder the terms:
-5 + 9k + 6kx + kx2 + x + x2 = 5 + -1x + -1x2 + -5 + x + x2

Reorder the terms:
-5 + 9k + 6kx + kx2 + x + x2 = 5 + -5 + -1x + x + -1x2 + x2

Combine like terms: 5 + -5 = 0
-5 + 9k + 6kx + kx2 + x + x2 = 0 + -1x + x + -1x2 + x2
-5 + 9k + 6kx + kx2 + x + x2 = -1x + x + -1x2 + x2

Combine like terms: -1x + x = 0
-5 + 9k + 6kx + kx2 + x + x2 = 0 + -1x2 + x2
-5 + 9k + 6kx + kx2 + x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-5 + 9k + 6kx + kx2 + x + x2 = 0

The solution to this equation could not be determined.

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