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

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


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

Multiply (a + b) * (2a + 3b)
(a(2a + 3b) + b(2a + 3b))(2x + -1y) = 0
((2a * a + 3b * a) + b(2a + 3b))(2x + -1y) = 0

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

Reorder the terms:
(3ab + 2ab + 2a2 + 3b2)(2x + -1y) = 0

Combine like terms: 3ab + 2ab = 5ab
(5ab + 2a2 + 3b2)(2x + -1y) = 0

Multiply (5ab + 2a2 + 3b2) * (2x + -1y)
(5ab * (2x + -1y) + 2a2 * (2x + -1y) + 3b2 * (2x + -1y)) = 0
((2x * 5ab + -1y * 5ab) + 2a2 * (2x + -1y) + 3b2 * (2x + -1y)) = 0
((10abx + -5aby) + 2a2 * (2x + -1y) + 3b2 * (2x + -1y)) = 0
(10abx + -5aby + (2x * 2a2 + -1y * 2a2) + 3b2 * (2x + -1y)) = 0
(10abx + -5aby + (4a2x + -2a2y) + 3b2 * (2x + -1y)) = 0
(10abx + -5aby + 4a2x + -2a2y + (2x * 3b2 + -1y * 3b2)) = 0
(10abx + -5aby + 4a2x + -2a2y + (6b2x + -3b2y)) = 0
(10abx + -5aby + 4a2x + -2a2y + 6b2x + -3b2y) = 0

Solving
10abx + -5aby + 4a2x + -2a2y + 6b2x + -3b2y = 0

Solving for variable 'a'.

The solution to this equation could not be determined.

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