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

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


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

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

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

Reorder the terms:
(kx2 + -2x2) + 5x + 5k = 0
(kx2 + -2x2) + 5x + 5k = 0

Reorder the terms:
5k + kx2 + 5x + -2x2 = 0

Solving
5k + kx2 + 5x + -2x2 = 0

Solving for variable 'k'.

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

Add '-5x' to each side of the equation.
5k + kx2 + 5x + -5x + -2x2 = 0 + -5x

Combine like terms: 5x + -5x = 0
5k + kx2 + 0 + -2x2 = 0 + -5x
5k + kx2 + -2x2 = 0 + -5x
Remove the zero:
5k + kx2 + -2x2 = -5x

Add '2x2' to each side of the equation.
5k + kx2 + -2x2 + 2x2 = -5x + 2x2

Combine like terms: -2x2 + 2x2 = 0
5k + kx2 + 0 = -5x + 2x2
5k + kx2 = -5x + 2x2

Reorder the terms:
5k + kx2 + 5x + -2x2 = -5x + 5x + 2x2 + -2x2

Combine like terms: -5x + 5x = 0
5k + kx2 + 5x + -2x2 = 0 + 2x2 + -2x2
5k + kx2 + 5x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
5k + kx2 + 5x + -2x2 = 0

The solution to this equation could not be determined.

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