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

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


Simplifying
(4a + -1b + -2)(3a + -7) + -1(3a + 4b) + (3a + 4b) = 0

Reorder the terms:
(-2 + 4a + -1b)(3a + -7) + -1(3a + 4b) + (3a + 4b) = 0

Reorder the terms:
(-2 + 4a + -1b)(-7 + 3a) + -1(3a + 4b) + (3a + 4b) = 0

Multiply (-2 + 4a + -1b) * (-7 + 3a)
(-2(-7 + 3a) + 4a * (-7 + 3a) + -1b * (-7 + 3a)) + -1(3a + 4b) + (3a + 4b) = 0
((-7 * -2 + 3a * -2) + 4a * (-7 + 3a) + -1b * (-7 + 3a)) + -1(3a + 4b) + (3a + 4b) = 0
((14 + -6a) + 4a * (-7 + 3a) + -1b * (-7 + 3a)) + -1(3a + 4b) + (3a + 4b) = 0
(14 + -6a + (-7 * 4a + 3a * 4a) + -1b * (-7 + 3a)) + -1(3a + 4b) + (3a + 4b) = 0
(14 + -6a + (-28a + 12a2) + -1b * (-7 + 3a)) + -1(3a + 4b) + (3a + 4b) = 0
(14 + -6a + -28a + 12a2 + (-7 * -1b + 3a * -1b)) + -1(3a + 4b) + (3a + 4b) = 0

Reorder the terms:
(14 + -6a + -28a + 12a2 + (-3ab + 7b)) + -1(3a + 4b) + (3a + 4b) = 0
(14 + -6a + -28a + 12a2 + (-3ab + 7b)) + -1(3a + 4b) + (3a + 4b) = 0

Reorder the terms:
(14 + -6a + -28a + -3ab + 12a2 + 7b) + -1(3a + 4b) + (3a + 4b) = 0

Combine like terms: -6a + -28a = -34a
(14 + -34a + -3ab + 12a2 + 7b) + -1(3a + 4b) + (3a + 4b) = 0
14 + -34a + -3ab + 12a2 + 7b + (3a * -1 + 4b * -1) + (3a + 4b) = 0
14 + -34a + -3ab + 12a2 + 7b + (-3a + -4b) + (3a + 4b) = 0

Remove parenthesis around (3a + 4b)
14 + -34a + -3ab + 12a2 + 7b + -3a + -4b + 3a + 4b = 0

Reorder the terms:
14 + -34a + -3a + 3a + -3ab + 12a2 + 7b + -4b + 4b = 0

Combine like terms: -34a + -3a = -37a
14 + -37a + 3a + -3ab + 12a2 + 7b + -4b + 4b = 0

Combine like terms: -37a + 3a = -34a
14 + -34a + -3ab + 12a2 + 7b + -4b + 4b = 0

Combine like terms: 7b + -4b = 3b
14 + -34a + -3ab + 12a2 + 3b + 4b = 0

Combine like terms: 3b + 4b = 7b
14 + -34a + -3ab + 12a2 + 7b = 0

Solving
14 + -34a + -3ab + 12a2 + 7b = 0

Solving for variable 'a'.

The solution to this equation could not be determined.

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