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

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


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

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

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

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

Remove parenthesis around (-3 + 4k)
x2 + kx + 3x + -3 + 4k = 0

Reorder the terms:
-3 + 4k + kx + 3x + x2 = 0

Solving
-3 + 4k + kx + 3x + x2 = 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 + 4k + kx + 3x + 3 + x2 = 0 + 3

Reorder the terms:
-3 + 3 + 4k + kx + 3x + x2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 4k + kx + 3x + x2 = 0 + 3
4k + kx + 3x + x2 = 0 + 3

Combine like terms: 0 + 3 = 3
4k + kx + 3x + x2 = 3

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

Combine like terms: 3x + -3x = 0
4k + kx + 0 + x2 = 3 + -3x
4k + kx + x2 = 3 + -3x

Add '-1x2' to each side of the equation.
4k + kx + x2 + -1x2 = 3 + -3x + -1x2

Combine like terms: x2 + -1x2 = 0
4k + kx + 0 = 3 + -3x + -1x2
4k + kx = 3 + -3x + -1x2

Reorder the terms:
-3 + 4k + kx + 3x + x2 = 3 + -3x + -1x2 + -3 + 3x + x2

Reorder the terms:
-3 + 4k + kx + 3x + x2 = 3 + -3 + -3x + 3x + -1x2 + x2

Combine like terms: 3 + -3 = 0
-3 + 4k + kx + 3x + x2 = 0 + -3x + 3x + -1x2 + x2
-3 + 4k + kx + 3x + x2 = -3x + 3x + -1x2 + x2

Combine like terms: -3x + 3x = 0
-3 + 4k + kx + 3x + x2 = 0 + -1x2 + x2
-3 + 4k + kx + 3x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-3 + 4k + kx + 3x + x2 = 0

The solution to this equation could not be determined.

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