x^2-2(2k-3)x+3k^2+5k+9=0

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Solution for x^2-2(2k-3)x+3k^2+5k+9=0 equation:


Simplifying
x2 + -2(2k + -3) * x + 3k2 + 5k + 9 = 0

Reorder the terms:
x2 + -2(-3 + 2k) * x + 3k2 + 5k + 9 = 0

Reorder the terms for easier multiplication:
x2 + -2x(-3 + 2k) + 3k2 + 5k + 9 = 0
x2 + (-3 * -2x + 2k * -2x) + 3k2 + 5k + 9 = 0

Reorder the terms:
x2 + (-4kx + 6x) + 3k2 + 5k + 9 = 0
x2 + (-4kx + 6x) + 3k2 + 5k + 9 = 0

Reorder the terms:
9 + 5k + -4kx + 3k2 + 6x + x2 = 0

Solving
9 + 5k + -4kx + 3k2 + 6x + x2 = 0

Solving for variable 'k'.

The solution to this equation could not be determined.

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