(k-1)x^2+(k+4)x+(k+7)=0

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Solution for (k-1)x^2+(k+4)x+(k+7)=0 equation: 


Simplifying
(k + -1) * x2 + (k + 4) * x + (k + 7) = 0

Reorder the terms:
(-1 + k) * x2 + (k + 4) * x + (k + 7) = 0

Reorder the terms for easier multiplication:
x2(-1 + k) + (k + 4) * x + (k + 7) = 0
(-1 * x2 + k * x2) + (k + 4) * x + (k + 7) = 0

Reorder the terms:
(kx2 + -1x2) + (k + 4) * x + (k + 7) = 0
(kx2 + -1x2) + (k + 4) * x + (k + 7) = 0

Reorder the terms:
kx2 + -1x2 + (4 + k) * x + (k + 7) = 0

Reorder the terms for easier multiplication:
kx2 + -1x2 + x(4 + k) + (k + 7) = 0
kx2 + -1x2 + (4 * x + k * x) + (k + 7) = 0

Reorder the terms:
kx2 + -1x2 + (kx + 4x) + (k + 7) = 0
kx2 + -1x2 + (kx + 4x) + (k + 7) = 0

Reorder the terms:
kx2 + -1x2 + kx + 4x + (7 + k) = 0

Remove parenthesis around (7 + k)
kx2 + -1x2 + kx + 4x + 7 + k = 0

Reorder the terms:
7 + k + kx + kx2 + 4x + -1x2 = 0

Solving
7 + k + kx + kx2 + 4x + -1x2 = 0

Solving for variable 'k'.

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

Add '-7' to each side of the equation.
7 + k + kx + kx2 + 4x + -7 + -1x2 = 0 + -7

Reorder the terms:
7 + -7 + k + kx + kx2 + 4x + -1x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + k + kx + kx2 + 4x + -1x2 = 0 + -7
k + kx + kx2 + 4x + -1x2 = 0 + -7

Combine like terms: 0 + -7 = -7
k + kx + kx2 + 4x + -1x2 = -7

Add '-4x' to each side of the equation.
k + kx + kx2 + 4x + -4x + -1x2 = -7 + -4x

Combine like terms: 4x + -4x = 0
k + kx + kx2 + 0 + -1x2 = -7 + -4x
k + kx + kx2 + -1x2 = -7 + -4x

Add 'x2' to each side of the equation.
k + kx + kx2 + -1x2 + x2 = -7 + -4x + x2

Combine like terms: -1x2 + x2 = 0
k + kx + kx2 + 0 = -7 + -4x + x2
k + kx + kx2 = -7 + -4x + x2

Reorder the terms:
7 + k + kx + kx2 + 4x + -1x2 = -7 + -4x + x2 + 7 + 4x + -1x2

Reorder the terms:
7 + k + kx + kx2 + 4x + -1x2 = -7 + 7 + -4x + 4x + x2 + -1x2

Combine like terms: -7 + 7 = 0
7 + k + kx + kx2 + 4x + -1x2 = 0 + -4x + 4x + x2 + -1x2
7 + k + kx + kx2 + 4x + -1x2 = -4x + 4x + x2 + -1x2

Combine like terms: -4x + 4x = 0
7 + k + kx + kx2 + 4x + -1x2 = 0 + x2 + -1x2
7 + k + kx + kx2 + 4x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
7 + k + kx + kx2 + 4x + -1x2 = 0

The solution to this equation could not be determined.

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