kx^2+4x+(3k-1)=0

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Solution for kx^2+4x+(3k-1)=0 equation:


Simplifying
kx2 + 4x + (3k + -1) = 0

Reorder the terms:
kx2 + 4x + (-1 + 3k) = 0

Remove parenthesis around (-1 + 3k)
kx2 + 4x + -1 + 3k = 0

Reorder the terms:
-1 + 3k + kx2 + 4x = 0

Solving
-1 + 3k + kx2 + 4x = 0

Solving for variable 'k'.

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

Add '1' to each side of the equation.
-1 + 3k + kx2 + 1 + 4x = 0 + 1

Reorder the terms:
-1 + 1 + 3k + kx2 + 4x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3k + kx2 + 4x = 0 + 1
3k + kx2 + 4x = 0 + 1

Combine like terms: 0 + 1 = 1
3k + kx2 + 4x = 1

Add '-4x' to each side of the equation.
3k + kx2 + 4x + -4x = 1 + -4x

Combine like terms: 4x + -4x = 0
3k + kx2 + 0 = 1 + -4x
3k + kx2 = 1 + -4x

Reorder the terms:
-1 + 3k + kx2 + 4x = 1 + -4x + -1 + 4x

Reorder the terms:
-1 + 3k + kx2 + 4x = 1 + -1 + -4x + 4x

Combine like terms: 1 + -1 = 0
-1 + 3k + kx2 + 4x = 0 + -4x + 4x
-1 + 3k + kx2 + 4x = -4x + 4x

Combine like terms: -4x + 4x = 0
-1 + 3k + kx2 + 4x = 0

The solution to this equation could not be determined.

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