(a-2)*x^2-2(a+3)X+4a=0

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Solution for (a-2)*x^2-2(a+3)X+4a=0 equation: 


Simplifying
(a + -2) * x2 + -2(a + 3) * X + 4a = 0

Reorder the terms:
(-2 + a) * x2 + -2(a + 3) * X + 4a = 0

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

Reorder the terms:
(ax2 + -2x2) + -2(a + 3) * X + 4a = 0
(ax2 + -2x2) + -2(a + 3) * X + 4a = 0

Reorder the terms:
ax2 + -2x2 + -2(3 + a) * X + 4a = 0

Reorder the terms for easier multiplication:
ax2 + -2x2 + -2X(3 + a) + 4a = 0
ax2 + -2x2 + (3 * -2X + a * -2X) + 4a = 0
ax2 + -2x2 + (-6X + -2aX) + 4a = 0

Reorder the terms:
-6X + 4a + -2aX + ax2 + -2x2 = 0

Solving
-6X + 4a + -2aX + ax2 + -2x2 = 0

Solving for variable 'X'.

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

Add '-4a' to each side of the equation.
-6X + 4a + -2aX + ax2 + -4a + -2x2 = 0 + -4a

Reorder the terms:
-6X + 4a + -4a + -2aX + ax2 + -2x2 = 0 + -4a

Combine like terms: 4a + -4a = 0
-6X + 0 + -2aX + ax2 + -2x2 = 0 + -4a
-6X + -2aX + ax2 + -2x2 = 0 + -4a
Remove the zero:
-6X + -2aX + ax2 + -2x2 = -4a

Add '-1ax2' to each side of the equation.
-6X + -2aX + ax2 + -1ax2 + -2x2 = -4a + -1ax2

Combine like terms: ax2 + -1ax2 = 0
-6X + -2aX + 0 + -2x2 = -4a + -1ax2
-6X + -2aX + -2x2 = -4a + -1ax2

Add '2x2' to each side of the equation.
-6X + -2aX + -2x2 + 2x2 = -4a + -1ax2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-6X + -2aX + 0 = -4a + -1ax2 + 2x2
-6X + -2aX = -4a + -1ax2 + 2x2

Reorder the terms:
-6X + 4a + -2aX + ax2 + -2x2 = -4a + -1ax2 + 2x2 + 4a + ax2 + -2x2

Reorder the terms:
-6X + 4a + -2aX + ax2 + -2x2 = -4a + 4a + -1ax2 + ax2 + 2x2 + -2x2

Combine like terms: -4a + 4a = 0
-6X + 4a + -2aX + ax2 + -2x2 = 0 + -1ax2 + ax2 + 2x2 + -2x2
-6X + 4a + -2aX + ax2 + -2x2 = -1ax2 + ax2 + 2x2 + -2x2

Combine like terms: -1ax2 + ax2 = 0
-6X + 4a + -2aX + ax2 + -2x2 = 0 + 2x2 + -2x2
-6X + 4a + -2aX + ax2 + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-6X + 4a + -2aX + ax2 + -2x2 = 0

The solution to this equation could not be determined.

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