8x^2-(k-1)x+(k-7)=0

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Solution for 8x^2-(k-1)x+(k-7)=0 equation: 


Simplifying
8x2 + -1(k + -1) * x + (k + -7) = 0

Reorder the terms:
8x2 + -1(-1 + k) * x + (k + -7) = 0

Reorder the terms for easier multiplication:
8x2 + -1x(-1 + k) + (k + -7) = 0
8x2 + (-1 * -1x + k * -1x) + (k + -7) = 0

Reorder the terms:
8x2 + (-1kx + 1x) + (k + -7) = 0
8x2 + (-1kx + 1x) + (k + -7) = 0

Reorder the terms:
8x2 + -1kx + 1x + (-7 + k) = 0

Remove parenthesis around (-7 + k)
8x2 + -1kx + 1x + -7 + k = 0

Reorder the terms:
-7 + k + -1kx + 1x + 8x2 = 0

Solving
-7 + k + -1kx + 1x + 8x2 = 0

Solving for variable 'k'.

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

Add '7' to each side of the equation.
-7 + k + -1kx + 1x + 7 + 8x2 = 0 + 7

Reorder the terms:
-7 + 7 + k + -1kx + 1x + 8x2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + k + -1kx + 1x + 8x2 = 0 + 7
k + -1kx + 1x + 8x2 = 0 + 7

Combine like terms: 0 + 7 = 7
k + -1kx + 1x + 8x2 = 7

Add '-1x' to each side of the equation.
k + -1kx + 1x + -1x + 8x2 = 7 + -1x

Combine like terms: 1x + -1x = 0
k + -1kx + 0 + 8x2 = 7 + -1x
k + -1kx + 8x2 = 7 + -1x

Add '-8x2' to each side of the equation.
k + -1kx + 8x2 + -8x2 = 7 + -1x + -8x2

Combine like terms: 8x2 + -8x2 = 0
k + -1kx + 0 = 7 + -1x + -8x2
k + -1kx = 7 + -1x + -8x2

Reorder the terms:
-7 + k + -1kx + x + 8x2 = 7 + -1x + -8x2 + -7 + x + 8x2

Reorder the terms:
-7 + k + -1kx + x + 8x2 = 7 + -7 + -1x + x + -8x2 + 8x2

Combine like terms: 7 + -7 = 0
-7 + k + -1kx + x + 8x2 = 0 + -1x + x + -8x2 + 8x2
-7 + k + -1kx + x + 8x2 = -1x + x + -8x2 + 8x2

Combine like terms: -1x + x = 0
-7 + k + -1kx + x + 8x2 = 0 + -8x2 + 8x2
-7 + k + -1kx + x + 8x2 = -8x2 + 8x2

Combine like terms: -8x2 + 8x2 = 0
-7 + k + -1kx + x + 8x2 = 0

The solution to this equation could not be determined.

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