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

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


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

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

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

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

Reorder the terms:
3 + -2k + 2kx + -3x + 5x2 = 0

Solving
3 + -2k + 2kx + -3x + 5x2 = 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 + 2kx + -3x + -3 + 5x2 = 0 + -3

Reorder the terms:
3 + -3 + -2k + 2kx + -3x + 5x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2k + 2kx + -3x + 5x2 = 0 + -3
-2k + 2kx + -3x + 5x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-2k + 2kx + -3x + 5x2 = -3

Add '3x' to each side of the equation.
-2k + 2kx + -3x + 3x + 5x2 = -3 + 3x

Combine like terms: -3x + 3x = 0
-2k + 2kx + 0 + 5x2 = -3 + 3x
-2k + 2kx + 5x2 = -3 + 3x

Add '-5x2' to each side of the equation.
-2k + 2kx + 5x2 + -5x2 = -3 + 3x + -5x2

Combine like terms: 5x2 + -5x2 = 0
-2k + 2kx + 0 = -3 + 3x + -5x2
-2k + 2kx = -3 + 3x + -5x2

Reorder the terms:
3 + -2k + 2kx + -3x + 5x2 = -3 + 3x + -5x2 + 3 + -3x + 5x2

Reorder the terms:
3 + -2k + 2kx + -3x + 5x2 = -3 + 3 + 3x + -3x + -5x2 + 5x2

Combine like terms: -3 + 3 = 0
3 + -2k + 2kx + -3x + 5x2 = 0 + 3x + -3x + -5x2 + 5x2
3 + -2k + 2kx + -3x + 5x2 = 3x + -3x + -5x2 + 5x2

Combine like terms: 3x + -3x = 0
3 + -2k + 2kx + -3x + 5x2 = 0 + -5x2 + 5x2
3 + -2k + 2kx + -3x + 5x2 = -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
3 + -2k + 2kx + -3x + 5x2 = 0

The solution to this equation could not be determined.

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