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

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


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

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

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

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

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

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

Solving for variable 'k'.

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

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

Combine like terms: -2x + 2x = 0
k + kx + 0 + 3x2 = 0 + 2x
k + kx + 3x2 = 0 + 2x
Remove the zero:
k + kx + 3x2 = 2x

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

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

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

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

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

The solution to this equation could not be determined.

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