=(3a-2b)(5b-4a-1)

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Solution for =(3a-2b)(5b-4a-1) equation: 


Simplifying
0 = (3a + -2b)(5b + -4a + -1)

Reorder the terms:
0 = (3a + -2b)(-1 + -4a + 5b)

Multiply (3a + -2b) * (-1 + -4a + 5b)
0 = (3a * (-1 + -4a + 5b) + -2b * (-1 + -4a + 5b))
0 = ((-1 * 3a + -4a * 3a + 5b * 3a) + -2b * (-1 + -4a + 5b))

Reorder the terms:
0 = ((-3a + 15ab + -12a2) + -2b * (-1 + -4a + 5b))
0 = ((-3a + 15ab + -12a2) + -2b * (-1 + -4a + 5b))
0 = (-3a + 15ab + -12a2 + (-1 * -2b + -4a * -2b + 5b * -2b))

Reorder the terms:
0 = (-3a + 15ab + -12a2 + (8ab + 2b + -10b2))
0 = (-3a + 15ab + -12a2 + (8ab + 2b + -10b2))

Reorder the terms:
0 = (-3a + 15ab + 8ab + -12a2 + 2b + -10b2)

Combine like terms: 15ab + 8ab = 23ab
0 = (-3a + 23ab + -12a2 + 2b + -10b2)

Solving
0 = -3a + 23ab + -12a2 + 2b + -10b2

Solving for variable 'a'.
Remove the zero:
3a + -23ab + 12a2 + -2b + 10b2 = -3a + 23ab + -12a2 + 2b + -10b2 + 3a + -23ab + 12a2 + -2b + 10b2

Reorder the terms:
3a + -23ab + 12a2 + -2b + 10b2 = -3a + 3a + 23ab + -23ab + -12a2 + 12a2 + 2b + -2b + -10b2 + 10b2

Combine like terms: -3a + 3a = 0
3a + -23ab + 12a2 + -2b + 10b2 = 0 + 23ab + -23ab + -12a2 + 12a2 + 2b + -2b + -10b2 + 10b2
3a + -23ab + 12a2 + -2b + 10b2 = 23ab + -23ab + -12a2 + 12a2 + 2b + -2b + -10b2 + 10b2

Combine like terms: 23ab + -23ab = 0
3a + -23ab + 12a2 + -2b + 10b2 = 0 + -12a2 + 12a2 + 2b + -2b + -10b2 + 10b2
3a + -23ab + 12a2 + -2b + 10b2 = -12a2 + 12a2 + 2b + -2b + -10b2 + 10b2

Combine like terms: -12a2 + 12a2 = 0
3a + -23ab + 12a2 + -2b + 10b2 = 0 + 2b + -2b + -10b2 + 10b2
3a + -23ab + 12a2 + -2b + 10b2 = 2b + -2b + -10b2 + 10b2

Combine like terms: 2b + -2b = 0
3a + -23ab + 12a2 + -2b + 10b2 = 0 + -10b2 + 10b2
3a + -23ab + 12a2 + -2b + 10b2 = -10b2 + 10b2

Combine like terms: -10b2 + 10b2 = 0
3a + -23ab + 12a2 + -2b + 10b2 = 0

The solution to this equation could not be determined.

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