x^2-3x-kx+5=0

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Solution for x^2-3x-kx+5=0 equation:


Simplifying
x2 + -3x + -1kx + 5 = 0

Reorder the terms:
5 + -1kx + -3x + x2 = 0

Solving
5 + -1kx + -3x + x2 = 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 + -1kx + -3x + -5 + x2 = 0 + -5

Reorder the terms:
5 + -5 + -1kx + -3x + x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1kx + -3x + x2 = 0 + -5
-1kx + -3x + x2 = 0 + -5

Combine like terms: 0 + -5 = -5
-1kx + -3x + x2 = -5

Add '3x' to each side of the equation.
-1kx + -3x + 3x + x2 = -5 + 3x

Combine like terms: -3x + 3x = 0
-1kx + 0 + x2 = -5 + 3x
-1kx + x2 = -5 + 3x

Add '-1x2' to each side of the equation.
-1kx + x2 + -1x2 = -5 + 3x + -1x2

Combine like terms: x2 + -1x2 = 0
-1kx + 0 = -5 + 3x + -1x2
-1kx = -5 + 3x + -1x2

Divide each side by '-1x'.
k = 5x-1 + -3 + x

Simplifying
k = 5x-1 + -3 + x

Reorder the terms:
k = -3 + 5x-1 + x

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