(2k-1)x^2-7x+(k+9)=0

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Solution for (2k-1)x^2-7x+(k+9)=0 equation: 


Simplifying
(2k + -1) * x2 + -7x + (k + 9) = 0

Reorder the terms:
(-1 + 2k) * x2 + -7x + (k + 9) = 0

Reorder the terms for easier multiplication:
x2(-1 + 2k) + -7x + (k + 9) = 0
(-1 * x2 + 2k * x2) + -7x + (k + 9) = 0

Reorder the terms:
(2kx2 + -1x2) + -7x + (k + 9) = 0
(2kx2 + -1x2) + -7x + (k + 9) = 0

Reorder the terms:
2kx2 + -1x2 + -7x + (9 + k) = 0

Remove parenthesis around (9 + k)
2kx2 + -1x2 + -7x + 9 + k = 0

Reorder the terms:
9 + k + 2kx2 + -7x + -1x2 = 0

Solving
9 + k + 2kx2 + -7x + -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 + k + 2kx2 + -7x + -9 + -1x2 = 0 + -9

Reorder the terms:
9 + -9 + k + 2kx2 + -7x + -1x2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + k + 2kx2 + -7x + -1x2 = 0 + -9
k + 2kx2 + -7x + -1x2 = 0 + -9

Combine like terms: 0 + -9 = -9
k + 2kx2 + -7x + -1x2 = -9

Add '7x' to each side of the equation.
k + 2kx2 + -7x + 7x + -1x2 = -9 + 7x

Combine like terms: -7x + 7x = 0
k + 2kx2 + 0 + -1x2 = -9 + 7x
k + 2kx2 + -1x2 = -9 + 7x

Add 'x2' to each side of the equation.
k + 2kx2 + -1x2 + x2 = -9 + 7x + x2

Combine like terms: -1x2 + x2 = 0
k + 2kx2 + 0 = -9 + 7x + x2
k + 2kx2 = -9 + 7x + x2

Reorder the terms:
9 + k + 2kx2 + -7x + -1x2 = -9 + 7x + x2 + 9 + -7x + -1x2

Reorder the terms:
9 + k + 2kx2 + -7x + -1x2 = -9 + 9 + 7x + -7x + x2 + -1x2

Combine like terms: -9 + 9 = 0
9 + k + 2kx2 + -7x + -1x2 = 0 + 7x + -7x + x2 + -1x2
9 + k + 2kx2 + -7x + -1x2 = 7x + -7x + x2 + -1x2

Combine like terms: 7x + -7x = 0
9 + k + 2kx2 + -7x + -1x2 = 0 + x2 + -1x2
9 + k + 2kx2 + -7x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9 + k + 2kx2 + -7x + -1x2 = 0

The solution to this equation could not be determined.

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