(a+5-b)(a-13+2b)=0

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Solution for (a+5-b)(a-13+2b)=0 equation:


Simplifying
(a + 5 + -1b)(a + -13 + 2b) = 0

Reorder the terms:
(5 + a + -1b)(a + -13 + 2b) = 0

Reorder the terms:
(5 + a + -1b)(-13 + a + 2b) = 0

Multiply (5 + a + -1b) * (-13 + a + 2b)
(5(-13 + a + 2b) + a(-13 + a + 2b) + -1b * (-13 + a + 2b)) = 0
((-13 * 5 + a * 5 + 2b * 5) + a(-13 + a + 2b) + -1b * (-13 + a + 2b)) = 0
((-65 + 5a + 10b) + a(-13 + a + 2b) + -1b * (-13 + a + 2b)) = 0
(-65 + 5a + 10b + (-13 * a + a * a + 2b * a) + -1b * (-13 + a + 2b)) = 0

Reorder the terms:
(-65 + 5a + 10b + (-13a + 2ab + a2) + -1b * (-13 + a + 2b)) = 0
(-65 + 5a + 10b + (-13a + 2ab + a2) + -1b * (-13 + a + 2b)) = 0
(-65 + 5a + 10b + -13a + 2ab + a2 + (-13 * -1b + a * -1b + 2b * -1b)) = 0

Reorder the terms:
(-65 + 5a + 10b + -13a + 2ab + a2 + (-1ab + 13b + -2b2)) = 0
(-65 + 5a + 10b + -13a + 2ab + a2 + (-1ab + 13b + -2b2)) = 0

Reorder the terms:
(-65 + 5a + -13a + 2ab + -1ab + a2 + 10b + 13b + -2b2) = 0

Combine like terms: 5a + -13a = -8a
(-65 + -8a + 2ab + -1ab + a2 + 10b + 13b + -2b2) = 0

Combine like terms: 2ab + -1ab = 1ab
(-65 + -8a + 1ab + a2 + 10b + 13b + -2b2) = 0

Combine like terms: 10b + 13b = 23b
(-65 + -8a + 1ab + a2 + 23b + -2b2) = 0

Solving
-65 + -8a + 1ab + a2 + 23b + -2b2 = 0

Solving for variable 'a'.

The solution to this equation could not be determined.

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