=(5a^2b-6ab^2+9)(4ab-3)

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Solution for =(5a^2b-6ab^2+9)(4ab-3) equation: 


Simplifying
0 = (5a2b + -6ab2 + 9)(4ab + -3)

Reorder the terms:
0 = (9 + -6ab2 + 5a2b)(4ab + -3)

Reorder the terms:
0 = (9 + -6ab2 + 5a2b)(-3 + 4ab)

Multiply (9 + -6ab2 + 5a2b) * (-3 + 4ab)
0 = (9(-3 + 4ab) + -6ab2 * (-3 + 4ab) + 5a2b * (-3 + 4ab))
0 = ((-3 * 9 + 4ab * 9) + -6ab2 * (-3 + 4ab) + 5a2b * (-3 + 4ab))
0 = ((-27 + 36ab) + -6ab2 * (-3 + 4ab) + 5a2b * (-3 + 4ab))
0 = (-27 + 36ab + (-3 * -6ab2 + 4ab * -6ab2) + 5a2b * (-3 + 4ab))
0 = (-27 + 36ab + (18ab2 + -24a2b3) + 5a2b * (-3 + 4ab))
0 = (-27 + 36ab + 18ab2 + -24a2b3 + (-3 * 5a2b + 4ab * 5a2b))
0 = (-27 + 36ab + 18ab2 + -24a2b3 + (-15a2b + 20a3b2))

Reorder the terms:
0 = (-27 + 36ab + 18ab2 + -15a2b + -24a2b3 + 20a3b2)
0 = (-27 + 36ab + 18ab2 + -15a2b + -24a2b3 + 20a3b2)

Solving
0 = -27 + 36ab + 18ab2 + -15a2b + -24a2b3 + 20a3b2

Solving for variable 'a'.

Combine like terms: 0 + 27 = 27
27 + -36ab + -18ab2 + 15a2b + 24a2b3 + -20a3b2 = -27 + 36ab + 18ab2 + -15a2b + -24a2b3 + 20a3b2 + 27 + -36ab + -18ab2 + 15a2b + 24a2b3 + -20a3b2

Reorder the terms:
27 + -36ab + -18ab2 + 15a2b + 24a2b3 + -20a3b2 = -27 + 27 + 36ab + -36ab + 18ab2 + -18ab2 + -15a2b + 15a2b + -24a2b3 + 24a2b3 + 20a3b2 + -20a3b2

Combine like terms: -27 + 27 = 0
27 + -36ab + -18ab2 + 15a2b + 24a2b3 + -20a3b2 = 0 + 36ab + -36ab + 18ab2 + -18ab2 + -15a2b + 15a2b + -24a2b3 + 24a2b3 + 20a3b2 + -20a3b2
27 + -36ab + -18ab2 + 15a2b + 24a2b3 + -20a3b2 = 36ab + -36ab + 18ab2 + -18ab2 + -15a2b + 15a2b + -24a2b3 + 24a2b3 + 20a3b2 + -20a3b2

Combine like terms: 36ab + -36ab = 0
27 + -36ab + -18ab2 + 15a2b + 24a2b3 + -20a3b2 = 0 + 18ab2 + -18ab2 + -15a2b + 15a2b + -24a2b3 + 24a2b3 + 20a3b2 + -20a3b2
27 + -36ab + -18ab2 + 15a2b + 24a2b3 + -20a3b2 = 18ab2 + -18ab2 + -15a2b + 15a2b + -24a2b3 + 24a2b3 + 20a3b2 + -20a3b2

Combine like terms: 18ab2 + -18ab2 = 0
27 + -36ab + -18ab2 + 15a2b + 24a2b3 + -20a3b2 = 0 + -15a2b + 15a2b + -24a2b3 + 24a2b3 + 20a3b2 + -20a3b2
27 + -36ab + -18ab2 + 15a2b + 24a2b3 + -20a3b2 = -15a2b + 15a2b + -24a2b3 + 24a2b3 + 20a3b2 + -20a3b2

Combine like terms: -15a2b + 15a2b = 0
27 + -36ab + -18ab2 + 15a2b + 24a2b3 + -20a3b2 = 0 + -24a2b3 + 24a2b3 + 20a3b2 + -20a3b2
27 + -36ab + -18ab2 + 15a2b + 24a2b3 + -20a3b2 = -24a2b3 + 24a2b3 + 20a3b2 + -20a3b2

Combine like terms: -24a2b3 + 24a2b3 = 0
27 + -36ab + -18ab2 + 15a2b + 24a2b3 + -20a3b2 = 0 + 20a3b2 + -20a3b2
27 + -36ab + -18ab2 + 15a2b + 24a2b3 + -20a3b2 = 20a3b2 + -20a3b2

Combine like terms: 20a3b2 + -20a3b2 = 0
27 + -36ab + -18ab2 + 15a2b + 24a2b3 + -20a3b2 = 0

The solution to this equation could not be determined.

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