4x^2+(4+k)x+(1+k)=0

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


Simplifying
4x2 + (4 + k) * x + (1 + k) = 0

Reorder the terms for easier multiplication:
4x2 + x(4 + k) + (1 + k) = 0
4x2 + (4 * x + k * x) + (1 + k) = 0

Reorder the terms:
4x2 + (kx + 4x) + (1 + k) = 0
4x2 + (kx + 4x) + (1 + k) = 0

Remove parenthesis around (1 + k)
4x2 + kx + 4x + 1 + k = 0

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

Solving
1 + k + kx + 4x + 4x2 = 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 + k + kx + 4x + -1 + 4x2 = 0 + -1

Reorder the terms:
1 + -1 + k + kx + 4x + 4x2 = 0 + -1

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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