(x^2)-(2(a+1)x)+3a+2=0

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Solution for (x^2)-(2(a+1)x)+3a+2=0 equation: 


Simplifying
(x2) + -1(2(a + 1) * x) + 3a + 2 = 0
x2 + -1(2(a + 1) * x) + 3a + 2 = 0

Reorder the terms:
x2 + -1(2(1 + a) * x) + 3a + 2 = 0

Reorder the terms for easier multiplication:
x2 + -1(2x(1 + a)) + 3a + 2 = 0
x2 + -1((1 * 2x + a * 2x)) + 3a + 2 = 0

Reorder the terms:
x2 + -1((2ax + 2x)) + 3a + 2 = 0
x2 + -1((2ax + 2x)) + 3a + 2 = 0
x2 + (2ax * -1 + 2x * -1) + 3a + 2 = 0
x2 + (-2ax + -2x) + 3a + 2 = 0

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

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

Solving for variable 'a'.

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

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

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

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

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

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

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

Add '-1x2' to each side of the equation.
3a + -2ax + x2 + -1x2 = -2 + 2x + -1x2

Combine like terms: x2 + -1x2 = 0
3a + -2ax + 0 = -2 + 2x + -1x2
3a + -2ax = -2 + 2x + -1x2

Reorder the terms:
2 + 3a + -2ax + -2x + x2 = -2 + 2x + -1x2 + 2 + -2x + x2

Reorder the terms:
2 + 3a + -2ax + -2x + x2 = -2 + 2 + 2x + -2x + -1x2 + x2

Combine like terms: -2 + 2 = 0
2 + 3a + -2ax + -2x + x2 = 0 + 2x + -2x + -1x2 + x2
2 + 3a + -2ax + -2x + x2 = 2x + -2x + -1x2 + x2

Combine like terms: 2x + -2x = 0
2 + 3a + -2ax + -2x + x2 = 0 + -1x2 + x2
2 + 3a + -2ax + -2x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
2 + 3a + -2ax + -2x + x2 = 0

The solution to this equation could not be determined.

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