(k-1)x^2+(5-2k)x+4k+5=0

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Solution for (k-1)x^2+(5-2k)x+4k+5=0 equation:


Simplifying
(k + -1) * x2 + (5 + -2k) * x + 4k + 5 = 0

Reorder the terms:
(-1 + k) * x2 + (5 + -2k) * x + 4k + 5 = 0

Reorder the terms for easier multiplication:
x2(-1 + k) + (5 + -2k) * x + 4k + 5 = 0
(-1 * x2 + k * x2) + (5 + -2k) * x + 4k + 5 = 0

Reorder the terms:
(kx2 + -1x2) + (5 + -2k) * x + 4k + 5 = 0
(kx2 + -1x2) + (5 + -2k) * x + 4k + 5 = 0

Reorder the terms for easier multiplication:
kx2 + -1x2 + x(5 + -2k) + 4k + 5 = 0
kx2 + -1x2 + (5 * x + -2k * x) + 4k + 5 = 0

Reorder the terms:
kx2 + -1x2 + (-2kx + 5x) + 4k + 5 = 0
kx2 + -1x2 + (-2kx + 5x) + 4k + 5 = 0

Reorder the terms:
5 + 4k + -2kx + kx2 + 5x + -1x2 = 0

Solving
5 + 4k + -2kx + kx2 + 5x + -1x2 = 0

Solving for variable 'k'.

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

Add '-5' to each side of the equation.
5 + 4k + -2kx + kx2 + 5x + -5 + -1x2 = 0 + -5

Reorder the terms:
5 + -5 + 4k + -2kx + kx2 + 5x + -1x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4k + -2kx + kx2 + 5x + -1x2 = 0 + -5
4k + -2kx + kx2 + 5x + -1x2 = 0 + -5

Combine like terms: 0 + -5 = -5
4k + -2kx + kx2 + 5x + -1x2 = -5

Add '-5x' to each side of the equation.
4k + -2kx + kx2 + 5x + -5x + -1x2 = -5 + -5x

Combine like terms: 5x + -5x = 0
4k + -2kx + kx2 + 0 + -1x2 = -5 + -5x
4k + -2kx + kx2 + -1x2 = -5 + -5x

Add 'x2' to each side of the equation.
4k + -2kx + kx2 + -1x2 + x2 = -5 + -5x + x2

Combine like terms: -1x2 + x2 = 0
4k + -2kx + kx2 + 0 = -5 + -5x + x2
4k + -2kx + kx2 = -5 + -5x + x2

Reorder the terms:
5 + 4k + -2kx + kx2 + 5x + -1x2 = -5 + -5x + x2 + 5 + 5x + -1x2

Reorder the terms:
5 + 4k + -2kx + kx2 + 5x + -1x2 = -5 + 5 + -5x + 5x + x2 + -1x2

Combine like terms: -5 + 5 = 0
5 + 4k + -2kx + kx2 + 5x + -1x2 = 0 + -5x + 5x + x2 + -1x2
5 + 4k + -2kx + kx2 + 5x + -1x2 = -5x + 5x + x2 + -1x2

Combine like terms: -5x + 5x = 0
5 + 4k + -2kx + kx2 + 5x + -1x2 = 0 + x2 + -1x2
5 + 4k + -2kx + kx2 + 5x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
5 + 4k + -2kx + kx2 + 5x + -1x2 = 0

The solution to this equation could not be determined.

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