(4a+3b)(2a-2b)=2q*3q-2q*2b+3b*3

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Solution for (4a+3b)(2a-2b)=2q*3q-2q*2b+3b*3 equation:


Simplifying
(4a + 3b)(2a + -2b) = 2q * 3q + -2q * 2b + 3b * 3

Multiply (4a + 3b) * (2a + -2b)
(4a * (2a + -2b) + 3b * (2a + -2b)) = 2q * 3q + -2q * 2b + 3b * 3
((2a * 4a + -2b * 4a) + 3b * (2a + -2b)) = 2q * 3q + -2q * 2b + 3b * 3

Reorder the terms:
((-8ab + 8a2) + 3b * (2a + -2b)) = 2q * 3q + -2q * 2b + 3b * 3
((-8ab + 8a2) + 3b * (2a + -2b)) = 2q * 3q + -2q * 2b + 3b * 3
(-8ab + 8a2 + (2a * 3b + -2b * 3b)) = 2q * 3q + -2q * 2b + 3b * 3
(-8ab + 8a2 + (6ab + -6b2)) = 2q * 3q + -2q * 2b + 3b * 3

Reorder the terms:
(-8ab + 6ab + 8a2 + -6b2) = 2q * 3q + -2q * 2b + 3b * 3

Combine like terms: -8ab + 6ab = -2ab
(-2ab + 8a2 + -6b2) = 2q * 3q + -2q * 2b + 3b * 3

Reorder the terms for easier multiplication:
-2ab + 8a2 + -6b2 = 2 * 3q * q + -2q * 2b + 3b * 3

Multiply 2 * 3
-2ab + 8a2 + -6b2 = 6q * q + -2q * 2b + 3b * 3

Multiply q * q
-2ab + 8a2 + -6b2 = 6q2 + -2q * 2b + 3b * 3

Reorder the terms for easier multiplication:
-2ab + 8a2 + -6b2 = 6q2 + -2 * 2q * b + 3b * 3

Multiply -2 * 2
-2ab + 8a2 + -6b2 = 6q2 + -4q * b + 3b * 3

Multiply q * b
-2ab + 8a2 + -6b2 = 6q2 + -4bq + 3b * 3

Reorder the terms for easier multiplication:
-2ab + 8a2 + -6b2 = 6q2 + -4bq + 3 * 3b

Multiply 3 * 3
-2ab + 8a2 + -6b2 = 6q2 + -4bq + 9b

Reorder the terms:
-2ab + 8a2 + -6b2 = 9b + -4bq + 6q2

Solving
-2ab + 8a2 + -6b2 = 9b + -4bq + 6q2

Solving for variable 'a'.

Reorder the terms:
-2ab + 8a2 + -9b + 4bq + -6b2 + -6q2 = 9b + -4bq + 6q2 + -9b + 4bq + -6q2

Reorder the terms:
-2ab + 8a2 + -9b + 4bq + -6b2 + -6q2 = 9b + -9b + -4bq + 4bq + 6q2 + -6q2

Combine like terms: 9b + -9b = 0
-2ab + 8a2 + -9b + 4bq + -6b2 + -6q2 = 0 + -4bq + 4bq + 6q2 + -6q2
-2ab + 8a2 + -9b + 4bq + -6b2 + -6q2 = -4bq + 4bq + 6q2 + -6q2

Combine like terms: -4bq + 4bq = 0
-2ab + 8a2 + -9b + 4bq + -6b2 + -6q2 = 0 + 6q2 + -6q2
-2ab + 8a2 + -9b + 4bq + -6b2 + -6q2 = 6q2 + -6q2

Combine like terms: 6q2 + -6q2 = 0
-2ab + 8a2 + -9b + 4bq + -6b2 + -6q2 = 0

The solution to this equation could not be determined.

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