kx^2-x^2=3kx-12

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Solution for kx^2-x^2=3kx-12 equation:


Simplifying
kx2 + -1x2 = 3kx + -12

Reorder the terms:
kx2 + -1x2 = -12 + 3kx

Solving
kx2 + -1x2 = -12 + 3kx

Solving for variable 'k'.

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

Add '-3kx' to each side of the equation.
kx2 + -3kx + -1x2 = -12 + 3kx + -3kx

Reorder the terms:
-3kx + kx2 + -1x2 = -12 + 3kx + -3kx

Combine like terms: 3kx + -3kx = 0
-3kx + kx2 + -1x2 = -12 + 0
-3kx + kx2 + -1x2 = -12

Add 'x2' to each side of the equation.
-3kx + kx2 + -1x2 + x2 = -12 + x2

Combine like terms: -1x2 + x2 = 0
-3kx + kx2 + 0 = -12 + x2
-3kx + kx2 = -12 + x2

Reorder the terms:
12 + -3kx + kx2 + -1x2 = -12 + x2 + 12 + -1x2

Reorder the terms:
12 + -3kx + kx2 + -1x2 = -12 + 12 + x2 + -1x2

Combine like terms: -12 + 12 = 0
12 + -3kx + kx2 + -1x2 = 0 + x2 + -1x2
12 + -3kx + kx2 + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
12 + -3kx + kx2 + -1x2 = 0

The solution to this equation could not be determined.

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