(a-2)x^2-2ax+a+3=0

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Solution for (a-2)x^2-2ax+a+3=0 equation:


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

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

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

Reorder the terms:
(ax2 + -2x2) + -2ax + a + 3 = 0
(ax2 + -2x2) + -2ax + a + 3 = 0

Reorder the terms:
3 + a + -2ax + ax2 + -2x2 = 0

Solving
3 + a + -2ax + ax2 + -2x2 = 0

Solving for variable 'a'.

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

Add '-3' to each side of the equation.
3 + a + -2ax + ax2 + -3 + -2x2 = 0 + -3

Reorder the terms:
3 + -3 + a + -2ax + ax2 + -2x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + a + -2ax + ax2 + -2x2 = 0 + -3
a + -2ax + ax2 + -2x2 = 0 + -3

Combine like terms: 0 + -3 = -3
a + -2ax + ax2 + -2x2 = -3

Add '2x2' to each side of the equation.
a + -2ax + ax2 + -2x2 + 2x2 = -3 + 2x2

Combine like terms: -2x2 + 2x2 = 0
a + -2ax + ax2 + 0 = -3 + 2x2
a + -2ax + ax2 = -3 + 2x2

Reorder the terms:
3 + a + -2ax + ax2 + -2x2 = -3 + 2x2 + 3 + -2x2

Reorder the terms:
3 + a + -2ax + ax2 + -2x2 = -3 + 3 + 2x2 + -2x2

Combine like terms: -3 + 3 = 0
3 + a + -2ax + ax2 + -2x2 = 0 + 2x2 + -2x2
3 + a + -2ax + ax2 + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
3 + a + -2ax + ax2 + -2x2 = 0

The solution to this equation could not be determined.

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