(2k-3)x^2-(4k+1)+(5k+8)=0

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Solution for (2k-3)x^2-(4k+1)+(5k+8)=0 equation: 


Simplifying
(2k + -3) * x2 + -1(4k + 1) + (5k + 8) = 0

Reorder the terms:
(-3 + 2k) * x2 + -1(4k + 1) + (5k + 8) = 0

Reorder the terms for easier multiplication:
x2(-3 + 2k) + -1(4k + 1) + (5k + 8) = 0
(-3 * x2 + 2k * x2) + -1(4k + 1) + (5k + 8) = 0

Reorder the terms:
(2kx2 + -3x2) + -1(4k + 1) + (5k + 8) = 0
(2kx2 + -3x2) + -1(4k + 1) + (5k + 8) = 0

Reorder the terms:
2kx2 + -3x2 + -1(1 + 4k) + (5k + 8) = 0
2kx2 + -3x2 + (1 * -1 + 4k * -1) + (5k + 8) = 0
2kx2 + -3x2 + (-1 + -4k) + (5k + 8) = 0

Reorder the terms:
2kx2 + -3x2 + -1 + -4k + (8 + 5k) = 0

Remove parenthesis around (8 + 5k)
2kx2 + -3x2 + -1 + -4k + 8 + 5k = 0

Reorder the terms:
-1 + 8 + -4k + 5k + 2kx2 + -3x2 = 0

Combine like terms: -1 + 8 = 7
7 + -4k + 5k + 2kx2 + -3x2 = 0

Combine like terms: -4k + 5k = 1k
7 + 1k + 2kx2 + -3x2 = 0

Solving
7 + 1k + 2kx2 + -3x2 = 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 + 1k + 2kx2 + -7 + -3x2 = 0 + -7

Reorder the terms:
7 + -7 + 1k + 2kx2 + -3x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 1k + 2kx2 + -3x2 = 0 + -7
1k + 2kx2 + -3x2 = 0 + -7

Combine like terms: 0 + -7 = -7
1k + 2kx2 + -3x2 = -7

Add '3x2' to each side of the equation.
1k + 2kx2 + -3x2 + 3x2 = -7 + 3x2

Combine like terms: -3x2 + 3x2 = 0
1k + 2kx2 + 0 = -7 + 3x2
1k + 2kx2 = -7 + 3x2

Reorder the terms:
7 + 1k + 2kx2 + -3x2 = -7 + 3x2 + 7 + -3x2

Reorder the terms:
7 + 1k + 2kx2 + -3x2 = -7 + 7 + 3x2 + -3x2

Combine like terms: -7 + 7 = 0
7 + 1k + 2kx2 + -3x2 = 0 + 3x2 + -3x2
7 + 1k + 2kx2 + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
7 + 1k + 2kx2 + -3x2 = 0

The solution to this equation could not be determined.

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