X^2-4x+7=kx-k

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Solution for X^2-4x+7=kx-k equation:


Simplifying
X2 + -4x + 7 = kx + -1k

Reorder the terms:
7 + X2 + -4x = kx + -1k

Reorder the terms:
7 + X2 + -4x = -1k + kx

Solving
7 + X2 + -4x = -1k + kx

Solving for variable 'X'.

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

Add '-7' to each side of the equation.
7 + X2 + -7 + -4x = -1k + -7 + kx

Reorder the terms:
7 + -7 + X2 + -4x = -1k + -7 + kx

Combine like terms: 7 + -7 = 0
0 + X2 + -4x = -1k + -7 + kx
X2 + -4x = -1k + -7 + kx

Reorder the terms:
X2 + -4x = -7 + -1k + kx

Add '4x' to each side of the equation.
X2 + -4x + 4x = -7 + -1k + kx + 4x

Combine like terms: -4x + 4x = 0
X2 + 0 = -7 + -1k + kx + 4x
X2 = -7 + -1k + kx + 4x

Simplifying
X2 = -7 + -1k + kx + 4x

Reorder the terms:
7 + X2 + k + -1kx + -4x = -7 + -1k + kx + 4x + 7 + k + -1kx + -4x

Reorder the terms:
7 + X2 + k + -1kx + -4x = -7 + 7 + -1k + k + kx + -1kx + 4x + -4x

Combine like terms: -7 + 7 = 0
7 + X2 + k + -1kx + -4x = 0 + -1k + k + kx + -1kx + 4x + -4x
7 + X2 + k + -1kx + -4x = -1k + k + kx + -1kx + 4x + -4x

Combine like terms: -1k + k = 0
7 + X2 + k + -1kx + -4x = 0 + kx + -1kx + 4x + -4x
7 + X2 + k + -1kx + -4x = kx + -1kx + 4x + -4x

Combine like terms: kx + -1kx = 0
7 + X2 + k + -1kx + -4x = 0 + 4x + -4x
7 + X2 + k + -1kx + -4x = 4x + -4x

Combine like terms: 4x + -4x = 0
7 + X2 + k + -1kx + -4x = 0

The solution to this equation could not be determined.

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