x^2+(k-8)*x-4*k+15=0

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Solution for x^2+(k-8)*x-4*k+15=0 equation: 


Simplifying
x2 + (k + -8) * x + -4k + 15 = 0

Reorder the terms:
x2 + (-8 + k) * x + -4k + 15 = 0

Reorder the terms for easier multiplication:
x2 + x(-8 + k) + -4k + 15 = 0
x2 + (-8 * x + k * x) + -4k + 15 = 0

Reorder the terms:
x2 + (kx + -8x) + -4k + 15 = 0
x2 + (kx + -8x) + -4k + 15 = 0

Reorder the terms:
15 + -4k + kx + -8x + x2 = 0

Solving
15 + -4k + kx + -8x + x2 = 0

Solving for variable 'k'.

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

Add '-15' to each side of the equation.
15 + -4k + kx + -8x + -15 + x2 = 0 + -15

Reorder the terms:
15 + -15 + -4k + kx + -8x + x2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -4k + kx + -8x + x2 = 0 + -15
-4k + kx + -8x + x2 = 0 + -15

Combine like terms: 0 + -15 = -15
-4k + kx + -8x + x2 = -15

Add '8x' to each side of the equation.
-4k + kx + -8x + 8x + x2 = -15 + 8x

Combine like terms: -8x + 8x = 0
-4k + kx + 0 + x2 = -15 + 8x
-4k + kx + x2 = -15 + 8x

Add '-1x2' to each side of the equation.
-4k + kx + x2 + -1x2 = -15 + 8x + -1x2

Combine like terms: x2 + -1x2 = 0
-4k + kx + 0 = -15 + 8x + -1x2
-4k + kx = -15 + 8x + -1x2

Reorder the terms:
15 + -4k + kx + -8x + x2 = -15 + 8x + -1x2 + 15 + -8x + x2

Reorder the terms:
15 + -4k + kx + -8x + x2 = -15 + 15 + 8x + -8x + -1x2 + x2

Combine like terms: -15 + 15 = 0
15 + -4k + kx + -8x + x2 = 0 + 8x + -8x + -1x2 + x2
15 + -4k + kx + -8x + x2 = 8x + -8x + -1x2 + x2

Combine like terms: 8x + -8x = 0
15 + -4k + kx + -8x + x2 = 0 + -1x2 + x2
15 + -4k + kx + -8x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
15 + -4k + kx + -8x + x2 = 0

The solution to this equation could not be determined.

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