x^2-(3k+8)x+15(k+1)=0

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Solution for x^2-(3k+8)x+15(k+1)=0 equation: 


Simplifying
x2 + -1(3k + 8) * x + 15(k + 1) = 0

Reorder the terms:
x2 + -1(8 + 3k) * x + 15(k + 1) = 0

Reorder the terms for easier multiplication:
x2 + -1x(8 + 3k) + 15(k + 1) = 0
x2 + (8 * -1x + 3k * -1x) + 15(k + 1) = 0

Reorder the terms:
x2 + (-3kx + -8x) + 15(k + 1) = 0
x2 + (-3kx + -8x) + 15(k + 1) = 0

Reorder the terms:
x2 + -3kx + -8x + 15(1 + k) = 0
x2 + -3kx + -8x + (1 * 15 + k * 15) = 0
x2 + -3kx + -8x + (15 + 15k) = 0

Reorder the terms:
15 + 15k + -3kx + -8x + x2 = 0

Solving
15 + 15k + -3kx + -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 + 15k + -3kx + -8x + -15 + x2 = 0 + -15

Reorder the terms:
15 + -15 + 15k + -3kx + -8x + x2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 15k + -3kx + -8x + x2 = 0 + -15
15k + -3kx + -8x + x2 = 0 + -15

Combine like terms: 0 + -15 = -15
15k + -3kx + -8x + x2 = -15

Add '8x' to each side of the equation.
15k + -3kx + -8x + 8x + x2 = -15 + 8x

Combine like terms: -8x + 8x = 0
15k + -3kx + 0 + x2 = -15 + 8x
15k + -3kx + x2 = -15 + 8x

Add '-1x2' to each side of the equation.
15k + -3kx + x2 + -1x2 = -15 + 8x + -1x2

Combine like terms: x2 + -1x2 = 0
15k + -3kx + 0 = -15 + 8x + -1x2
15k + -3kx = -15 + 8x + -1x2

Reorder the terms:
15 + 15k + -3kx + -8x + x2 = -15 + 8x + -1x2 + 15 + -8x + x2

Reorder the terms:
15 + 15k + -3kx + -8x + x2 = -15 + 15 + 8x + -8x + -1x2 + x2

Combine like terms: -15 + 15 = 0
15 + 15k + -3kx + -8x + x2 = 0 + 8x + -8x + -1x2 + x2
15 + 15k + -3kx + -8x + x2 = 8x + -8x + -1x2 + x2

Combine like terms: 8x + -8x = 0
15 + 15k + -3kx + -8x + x2 = 0 + -1x2 + x2
15 + 15k + -3kx + -8x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
15 + 15k + -3kx + -8x + x2 = 0

The solution to this equation could not be determined.

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