(4a-3b)(2a-7b)(5a-6b+4)=0

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Solution for (4a-3b)(2a-7b)(5a-6b+4)=0 equation: 


Simplifying
(4a + -3b)(2a + -7b)(5a + -6b + 4) = 0

Reorder the terms:
(4a + -3b)(2a + -7b)(4 + 5a + -6b) = 0

Multiply (4a + -3b) * (2a + -7b)
(4a * (2a + -7b) + -3b * (2a + -7b))(4 + 5a + -6b) = 0
((2a * 4a + -7b * 4a) + -3b * (2a + -7b))(4 + 5a + -6b) = 0

Reorder the terms:
((-28ab + 8a2) + -3b * (2a + -7b))(4 + 5a + -6b) = 0
((-28ab + 8a2) + -3b * (2a + -7b))(4 + 5a + -6b) = 0
(-28ab + 8a2 + (2a * -3b + -7b * -3b))(4 + 5a + -6b) = 0
(-28ab + 8a2 + (-6ab + 21b2))(4 + 5a + -6b) = 0

Reorder the terms:
(-28ab + -6ab + 8a2 + 21b2)(4 + 5a + -6b) = 0

Combine like terms: -28ab + -6ab = -34ab
(-34ab + 8a2 + 21b2)(4 + 5a + -6b) = 0

Multiply (-34ab + 8a2 + 21b2) * (4 + 5a + -6b)
(-34ab * (4 + 5a + -6b) + 8a2 * (4 + 5a + -6b) + 21b2 * (4 + 5a + -6b)) = 0
((4 * -34ab + 5a * -34ab + -6b * -34ab) + 8a2 * (4 + 5a + -6b) + 21b2 * (4 + 5a + -6b)) = 0

Reorder the terms:
((-136ab + 204ab2 + -170a2b) + 8a2 * (4 + 5a + -6b) + 21b2 * (4 + 5a + -6b)) = 0
((-136ab + 204ab2 + -170a2b) + 8a2 * (4 + 5a + -6b) + 21b2 * (4 + 5a + -6b)) = 0
(-136ab + 204ab2 + -170a2b + (4 * 8a2 + 5a * 8a2 + -6b * 8a2) + 21b2 * (4 + 5a + -6b)) = 0

Reorder the terms:
(-136ab + 204ab2 + -170a2b + (32a2 + -48a2b + 40a3) + 21b2 * (4 + 5a + -6b)) = 0
(-136ab + 204ab2 + -170a2b + (32a2 + -48a2b + 40a3) + 21b2 * (4 + 5a + -6b)) = 0
(-136ab + 204ab2 + -170a2b + 32a2 + -48a2b + 40a3 + (4 * 21b2 + 5a * 21b2 + -6b * 21b2)) = 0

Reorder the terms:
(-136ab + 204ab2 + -170a2b + 32a2 + -48a2b + 40a3 + (105ab2 + 84b2 + -126b3)) = 0
(-136ab + 204ab2 + -170a2b + 32a2 + -48a2b + 40a3 + (105ab2 + 84b2 + -126b3)) = 0

Reorder the terms:
(-136ab + 204ab2 + 105ab2 + 32a2 + -170a2b + -48a2b + 40a3 + 84b2 + -126b3) = 0

Combine like terms: 204ab2 + 105ab2 = 309ab2
(-136ab + 309ab2 + 32a2 + -170a2b + -48a2b + 40a3 + 84b2 + -126b3) = 0

Combine like terms: -170a2b + -48a2b = -218a2b
(-136ab + 309ab2 + 32a2 + -218a2b + 40a3 + 84b2 + -126b3) = 0

Solving
-136ab + 309ab2 + 32a2 + -218a2b + 40a3 + 84b2 + -126b3 = 0

Solving for variable 'a'.

The solution to this equation could not be determined.

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