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

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


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

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

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

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

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

Remove parenthesis around (-2 + 3b)
2x2 + -1ax + -3x + -2 + 3b = 0

Reorder the terms:
-2 + -1ax + 3b + -3x + 2x2 = 0

Solving
-2 + -1ax + 3b + -3x + 2x2 = 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 + -1ax + 3b + -3x + 2 + 2x2 = 0 + 2

Reorder the terms:
-2 + 2 + -1ax + 3b + -3x + 2x2 = 0 + 2

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

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

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

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

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

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

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

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

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

Divide each side by '-1x'.
a = -2x-1 + 3bx-1 + -3 + 2x

Simplifying
a = -2x-1 + 3bx-1 + -3 + 2x

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

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