x^2+2(k+1)x+9k-5=0

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Solution for x^2+2(k+1)x+9k-5=0 equation: 


Simplifying
x2 + 2(k + 1) * x + 9k + -5 = 0

Reorder the terms:
x2 + 2(1 + k) * x + 9k + -5 = 0

Reorder the terms for easier multiplication:
x2 + 2x(1 + k) + 9k + -5 = 0
x2 + (1 * 2x + k * 2x) + 9k + -5 = 0

Reorder the terms:
x2 + (2kx + 2x) + 9k + -5 = 0
x2 + (2kx + 2x) + 9k + -5 = 0

Reorder the terms:
-5 + 9k + 2kx + 2x + x2 = 0

Solving
-5 + 9k + 2kx + 2x + x2 = 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 + 9k + 2kx + 2x + 5 + x2 = 0 + 5

Reorder the terms:
-5 + 5 + 9k + 2kx + 2x + x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 9k + 2kx + 2x + x2 = 0 + 5
9k + 2kx + 2x + x2 = 0 + 5

Combine like terms: 0 + 5 = 5
9k + 2kx + 2x + x2 = 5

Add '-2x' to each side of the equation.
9k + 2kx + 2x + -2x + x2 = 5 + -2x

Combine like terms: 2x + -2x = 0
9k + 2kx + 0 + x2 = 5 + -2x
9k + 2kx + x2 = 5 + -2x

Add '-1x2' to each side of the equation.
9k + 2kx + x2 + -1x2 = 5 + -2x + -1x2

Combine like terms: x2 + -1x2 = 0
9k + 2kx + 0 = 5 + -2x + -1x2
9k + 2kx = 5 + -2x + -1x2

Reorder the terms:
-5 + 9k + 2kx + 2x + x2 = 5 + -2x + -1x2 + -5 + 2x + x2

Reorder the terms:
-5 + 9k + 2kx + 2x + x2 = 5 + -5 + -2x + 2x + -1x2 + x2

Combine like terms: 5 + -5 = 0
-5 + 9k + 2kx + 2x + x2 = 0 + -2x + 2x + -1x2 + x2
-5 + 9k + 2kx + 2x + x2 = -2x + 2x + -1x2 + x2

Combine like terms: -2x + 2x = 0
-5 + 9k + 2kx + 2x + x2 = 0 + -1x2 + x2
-5 + 9k + 2kx + 2x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-5 + 9k + 2kx + 2x + x2 = 0

The solution to this equation could not be determined.

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