(k-3)x^2-2x-4=0

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Solution for (k-3)x^2-2x-4=0 equation:


Simplifying
(k + -3) * x2 + -2x + -4 = 0

Reorder the terms:
(-3 + k) * x2 + -2x + -4 = 0

Reorder the terms for easier multiplication:
x2(-3 + k) + -2x + -4 = 0
(-3 * x2 + k * x2) + -2x + -4 = 0

Reorder the terms:
(kx2 + -3x2) + -2x + -4 = 0
(kx2 + -3x2) + -2x + -4 = 0

Reorder the terms:
-4 + kx2 + -2x + -3x2 = 0

Solving
-4 + kx2 + -2x + -3x2 = 0

Solving for variable 'k'.

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

Add '4' to each side of the equation.
-4 + kx2 + -2x + 4 + -3x2 = 0 + 4

Reorder the terms:
-4 + 4 + kx2 + -2x + -3x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + kx2 + -2x + -3x2 = 0 + 4
kx2 + -2x + -3x2 = 0 + 4

Combine like terms: 0 + 4 = 4
kx2 + -2x + -3x2 = 4

Add '2x' to each side of the equation.
kx2 + -2x + 2x + -3x2 = 4 + 2x

Combine like terms: -2x + 2x = 0
kx2 + 0 + -3x2 = 4 + 2x
kx2 + -3x2 = 4 + 2x

Add '3x2' to each side of the equation.
kx2 + -3x2 + 3x2 = 4 + 2x + 3x2

Combine like terms: -3x2 + 3x2 = 0
kx2 + 0 = 4 + 2x + 3x2
kx2 = 4 + 2x + 3x2

Divide each side by 'x2'.
k = 4x-2 + 2x-1 + 3

Simplifying
k = 4x-2 + 2x-1 + 3

Reorder the terms:
k = 3 + 4x-2 + 2x-1

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