(3ab-2)x(a+3b)+(2a^2+5b)x(b+1)+(a-1)X(9b^2-2a)-2bX(9ab-2b)=0

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Solution for (3ab-2)x(a+3b)+(2a^2+5b)x(b+1)+(a-1)X(9b^2-2a)-2bX(9ab-2b)=0 equation:


Simplifying
(3ab + -2) * x(a + 3b) + (2a2 + 5b) * x(b + 1) + (a + -1) * X(9b2 + -2a) + -2bX(9ab + -2b) = 0

Reorder the terms:
(-2 + 3ab) * x(a + 3b) + (2a2 + 5b) * x(b + 1) + (a + -1) * X(9b2 + -2a) + -2bX(9ab + -2b) = 0

Reorder the terms for easier multiplication:
x(-2 + 3ab)(a + 3b) + (2a2 + 5b) * x(b + 1) + (a + -1) * X(9b2 + -2a) + -2bX(9ab + -2b) = 0

Multiply (-2 + 3ab) * (a + 3b)
x(-2(a + 3b) + 3ab * (a + 3b)) + (2a2 + 5b) * x(b + 1) + (a + -1) * X(9b2 + -2a) + -2bX(9ab + -2b) = 0
x((a * -2 + 3b * -2) + 3ab * (a + 3b)) + (2a2 + 5b) * x(b + 1) + (a + -1) * X(9b2 + -2a) + -2bX(9ab + -2b) = 0
x((-2a + -6b) + 3ab * (a + 3b)) + (2a2 + 5b) * x(b + 1) + (a + -1) * X(9b2 + -2a) + -2bX(9ab + -2b) = 0
x(-2a + -6b + (a * 3ab + 3b * 3ab)) + (2a2 + 5b) * x(b + 1) + (a + -1) * X(9b2 + -2a) + -2bX(9ab + -2b) = 0

Reorder the terms:
x(-2a + -6b + (9ab2 + 3a2b)) + (2a2 + 5b) * x(b + 1) + (a + -1) * X(9b2 + -2a) + -2bX(9ab + -2b) = 0
x(-2a + -6b + (9ab2 + 3a2b)) + (2a2 + 5b) * x(b + 1) + (a + -1) * X(9b2 + -2a) + -2bX(9ab + -2b) = 0

Reorder the terms:
x(-2a + 9ab2 + 3a2b + -6b) + (2a2 + 5b) * x(b + 1) + (a + -1) * X(9b2 + -2a) + -2bX(9ab + -2b) = 0
x(-2a + 9ab2 + 3a2b + -6b) + (2a2 + 5b) * x(b + 1) + (a + -1) * X(9b2 + -2a) + -2bX(9ab + -2b) = 0
(-2a * x + 9ab2 * x + 3a2b * x + -6b * x) + (2a2 + 5b) * x(b + 1) + (a + -1) * X(9b2 + -2a) + -2bX(9ab + -2b) = 0

Reorder the terms:
(9ab2x + -2ax + 3a2bx + -6bx) + (2a2 + 5b) * x(b + 1) + (a + -1) * X(9b2 + -2a) + -2bX(9ab + -2b) = 0
(9ab2x + -2ax + 3a2bx + -6bx) + (2a2 + 5b) * x(b + 1) + (a + -1) * X(9b2 + -2a) + -2bX(9ab + -2b) = 0

Reorder the terms:
9ab2x + -2ax + 3a2bx + -6bx + (2a2 + 5b) * x(1 + b) + (a + -1) * X(9b2 + -2a) + -2bX(9ab + -2b) = 0

Reorder the terms for easier multiplication:
9ab2x + -2ax + 3a2bx + -6bx + x(2a2 + 5b)(1 + b) + (a + -1) * X(9b2 + -2a) + -2bX(9ab + -2b) = 0

Multiply (2a2 + 5b) * (1 + b)
9ab2x + -2ax + 3a2bx + -6bx + x(2a2 * (1 + b) + 5b * (1 + b)) + (a + -1) * X(9b2 + -2a) + -2bX(9ab + -2b) = 0
9ab2x + -2ax + 3a2bx + -6bx + x((1 * 2a2 + b * 2a2) + 5b * (1 + b)) + (a + -1) * X(9b2 + -2a) + -2bX(9ab + -2b) = 0
9ab2x + -2ax + 3a2bx + -6bx + x((2a2 + 2a2b) + 5b * (1 + b)) + (a + -1) * X(9b2 + -2a) + -2bX(9ab + -2b) = 0
9ab2x + -2ax + 3a2bx + -6bx + x(2a2 + 2a2b + (1 * 5b + b * 5b)) + (a + -1) * X(9b2 + -2a) + -2bX(9ab + -2b) = 0
9ab2x + -2ax + 3a2bx + -6bx + x(2a2 + 2a2b + (5b + 5b2)) + (a + -1) * X(9b2 + -2a) + -2bX(9ab + -2b) = 0
9ab2x + -2ax + 3a2bx + -6bx + x(2a2 + 2a2b + 5b + 5b2) + (a + -1) * X(9b2 + -2a) + -2bX(9ab + -2b) = 0
9ab2x + -2ax + 3a2bx + -6bx + (2a2 * x + 2a2b * x + 5b * x + 5b2 * x) + (a + -1) * X(9b2 + -2a) + -2bX(9ab + -2b) = 0

Reorder the terms:
9ab2x + -2ax + 3a2bx + -6bx + (2a2bx + 2a2x + 5bx + 5b2x) + (a + -1) * X(9b2 + -2a) + -2bX(9ab + -2b) = 0
9ab2x + -2ax + 3a2bx + -6bx + (2a2bx + 2a2x + 5bx + 5b2x) + (a + -1) * X(9b2 + -2a) + -2bX(9ab + -2b) = 0

Reorder the terms:
9ab2x + -2ax + 3a2bx + -6bx + 2a2bx + 2a2x + 5bx + 5b2x + (-1 + a) * X(9b2 + -2a) + -2bX(9ab + -2b) = 0

Reorder the terms:
9ab2x + -2ax + 3a2bx + -6bx + 2a2bx + 2a2x + 5bx + 5b2x + (-1 + a) * X(-2a + 9b2) + -2bX(9ab + -2b) = 0

Reorder the terms for easier multiplication:
9ab2x + -2ax + 3a2bx + -6bx + 2a2bx + 2a2x + 5bx + 5b2x + X(-1 + a)(-2a + 9b2) + -2bX(9ab + -2b) = 0

Multiply (-1 + a) * (-2a + 9b2)
9ab2x + -2ax + 3a2bx + -6bx + 2a2bx + 2a2x + 5bx + 5b2x + X(-1(-2a + 9b2) + a(-2a + 9b2)) + -2bX(9ab + -2b) = 0
9ab2x + -2ax + 3a2bx + -6bx + 2a2bx + 2a2x + 5bx + 5b2x + X((-2a * -1 + 9b2 * -1) + a(-2a + 9b2)) + -2bX(9ab + -2b) = 0
9ab2x + -2ax + 3a2bx + -6bx + 2a2bx + 2a2x + 5bx + 5b2x + X((2a + -9b2) + a(-2a + 9b2)) + -2bX(9ab + -2b) = 0
9ab2x + -2ax + 3a2bx + -6bx + 2a2bx + 2a2x + 5bx + 5b2x + X(2a + -9b2 + (-2a * a + 9b2 * a)) + -2bX(9ab + -2b) = 0

Reorder the terms:
9ab2x + -2ax + 3a2bx + -6bx + 2a2bx + 2a2x + 5bx + 5b2x + X(2a + -9b2 + (9ab2 + -2a2)) + -2bX(9ab + -2b) = 0
9ab2x + -2ax + 3a2bx + -6bx + 2a2bx + 2a2x + 5bx + 5b2x + X(2a + -9b2 + (9ab2 + -2a2)) + -2bX(9ab + -2b) = 0

Reorder the terms:
9ab2x + -2ax + 3a2bx + -6bx + 2a2bx + 2a2x + 5bx + 5b2x + X(2a + 9ab2 + -2a2 + -9b2) + -2bX(9ab + -2b) = 0
9ab2x + -2ax + 3a2bx + -6bx + 2a2bx + 2a2x + 5bx + 5b2x + X(2a + 9ab2 + -2a2 + -9b2) + -2bX(9ab + -2b) = 0
9ab2x + -2ax + 3a2bx + -6bx + 2a2bx + 2a2x + 5bx + 5b2x + (2a * X + 9ab2 * X + -2a2 * X + -9b2 * X) + -2bX(9ab + -2b) = 0
9ab2x + -2ax + 3a2bx + -6bx + 2a2bx + 2a2x + 5bx + 5b2x + (2aX + 9ab2X + -2a2X + -9b2X) + -2bX(9ab + -2b) = 0
9ab2x + -2ax + 3a2bx + -6bx + 2a2bx + 2a2x + 5bx + 5b2x + 2aX + 9ab2X + -2a2X + -9b2X + (9ab * -2bX + -2b * -2bX) = 0
9ab2x + -2ax + 3a2bx + -6bx + 2a2bx + 2a2x + 5bx + 5b2x + 2aX + 9ab2X + -2a2X + -9b2X + (-18ab2X + 4b2X) = 0

Reorder the terms:
2aX + 9ab2X + -18ab2X + 9ab2x + -2ax + -2a2X + 3a2bx + 2a2bx + 2a2x + -6bx + 5bx + -9b2X + 4b2X + 5b2x = 0

Combine like terms: 9ab2X + -18ab2X = -9ab2X
2aX + -9ab2X + 9ab2x + -2ax + -2a2X + 3a2bx + 2a2bx + 2a2x + -6bx + 5bx + -9b2X + 4b2X + 5b2x = 0

Combine like terms: 3a2bx + 2a2bx = 5a2bx
2aX + -9ab2X + 9ab2x + -2ax + -2a2X + 5a2bx + 2a2x + -6bx + 5bx + -9b2X + 4b2X + 5b2x = 0

Combine like terms: -6bx + 5bx = -1bx
2aX + -9ab2X + 9ab2x + -2ax + -2a2X + 5a2bx + 2a2x + -1bx + -9b2X + 4b2X + 5b2x = 0

Combine like terms: -9b2X + 4b2X = -5b2X
2aX + -9ab2X + 9ab2x + -2ax + -2a2X + 5a2bx + 2a2x + -1bx + -5b2X + 5b2x = 0

Solving
2aX + -9ab2X + 9ab2x + -2ax + -2a2X + 5a2bx + 2a2x + -1bx + -5b2X + 5b2x = 0

Solving for variable 'a'.

The solution to this equation could not be determined.

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