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

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


Simplifying
(2k + -3) * x2 + 8x + (2k + 3) = 0

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

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

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

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

Remove parenthesis around (3 + 2k)
2kx2 + -3x2 + 8x + 3 + 2k = 0

Reorder the terms:
3 + 2k + 2kx2 + 8x + -3x2 = 0

Solving
3 + 2k + 2kx2 + 8x + -3x2 = 0

Solving for variable 'k'.

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

Add '-3' to each side of the equation.
3 + 2k + 2kx2 + 8x + -3 + -3x2 = 0 + -3

Reorder the terms:
3 + -3 + 2k + 2kx2 + 8x + -3x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2k + 2kx2 + 8x + -3x2 = 0 + -3
2k + 2kx2 + 8x + -3x2 = 0 + -3

Combine like terms: 0 + -3 = -3
2k + 2kx2 + 8x + -3x2 = -3

Add '-8x' to each side of the equation.
2k + 2kx2 + 8x + -8x + -3x2 = -3 + -8x

Combine like terms: 8x + -8x = 0
2k + 2kx2 + 0 + -3x2 = -3 + -8x
2k + 2kx2 + -3x2 = -3 + -8x

Add '3x2' to each side of the equation.
2k + 2kx2 + -3x2 + 3x2 = -3 + -8x + 3x2

Combine like terms: -3x2 + 3x2 = 0
2k + 2kx2 + 0 = -3 + -8x + 3x2
2k + 2kx2 = -3 + -8x + 3x2

Reorder the terms:
3 + 2k + 2kx2 + 8x + -3x2 = -3 + -8x + 3x2 + 3 + 8x + -3x2

Reorder the terms:
3 + 2k + 2kx2 + 8x + -3x2 = -3 + 3 + -8x + 8x + 3x2 + -3x2

Combine like terms: -3 + 3 = 0
3 + 2k + 2kx2 + 8x + -3x2 = 0 + -8x + 8x + 3x2 + -3x2
3 + 2k + 2kx2 + 8x + -3x2 = -8x + 8x + 3x2 + -3x2

Combine like terms: -8x + 8x = 0
3 + 2k + 2kx2 + 8x + -3x2 = 0 + 3x2 + -3x2
3 + 2k + 2kx2 + 8x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
3 + 2k + 2kx2 + 8x + -3x2 = 0

The solution to this equation could not be determined.

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