(2k+3)x^2-4kx+4=0

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


Simplifying
(2k + 3) * x2 + -4kx + 4 = 0

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

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

Reorder the terms:
(2kx2 + 3x2) + -4kx + 4 = 0
(2kx2 + 3x2) + -4kx + 4 = 0

Reorder the terms:
4 + -4kx + 2kx2 + 3x2 = 0

Solving
4 + -4kx + 2kx2 + 3x2 = 0

Solving for variable 'k'.

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

Add '-4' to each side of the equation.
4 + -4kx + 2kx2 + -4 + 3x2 = 0 + -4

Reorder the terms:
4 + -4 + -4kx + 2kx2 + 3x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -4kx + 2kx2 + 3x2 = 0 + -4
-4kx + 2kx2 + 3x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-4kx + 2kx2 + 3x2 = -4

Add '-3x2' to each side of the equation.
-4kx + 2kx2 + 3x2 + -3x2 = -4 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-4kx + 2kx2 + 0 = -4 + -3x2
-4kx + 2kx2 = -4 + -3x2

Reorder the terms:
4 + -4kx + 2kx2 + 3x2 = -4 + -3x2 + 4 + 3x2

Reorder the terms:
4 + -4kx + 2kx2 + 3x2 = -4 + 4 + -3x2 + 3x2

Combine like terms: -4 + 4 = 0
4 + -4kx + 2kx2 + 3x2 = 0 + -3x2 + 3x2
4 + -4kx + 2kx2 + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
4 + -4kx + 2kx2 + 3x2 = 0

The solution to this equation could not be determined.

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