3b(a+5)-a(3-b)+5(a+b-5)=0

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Solution for 3b(a+5)-a(3-b)+5(a+b-5)=0 equation: 


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

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

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

Reorder the terms:
3ab + 15b + -3a + 1ab + 5(-5 + a + b) = 0
3ab + 15b + -3a + 1ab + (-5 * 5 + a * 5 + b * 5) = 0
3ab + 15b + -3a + 1ab + (-25 + 5a + 5b) = 0

Reorder the terms:
-25 + -3a + 5a + 3ab + 1ab + 15b + 5b = 0

Combine like terms: -3a + 5a = 2a
-25 + 2a + 3ab + 1ab + 15b + 5b = 0

Combine like terms: 3ab + 1ab = 4ab
-25 + 2a + 4ab + 15b + 5b = 0

Combine like terms: 15b + 5b = 20b
-25 + 2a + 4ab + 20b = 0

Solving
-25 + 2a + 4ab + 20b = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '25' to each side of the equation.
-25 + 2a + 4ab + 25 + 20b = 0 + 25

Reorder the terms:
-25 + 25 + 2a + 4ab + 20b = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 2a + 4ab + 20b = 0 + 25
2a + 4ab + 20b = 0 + 25

Combine like terms: 0 + 25 = 25
2a + 4ab + 20b = 25

Add '-20b' to each side of the equation.
2a + 4ab + 20b + -20b = 25 + -20b

Combine like terms: 20b + -20b = 0
2a + 4ab + 0 = 25 + -20b
2a + 4ab = 25 + -20b

Reorder the terms:
-25 + 2a + 4ab + 20b = 25 + -20b + -25 + 20b

Reorder the terms:
-25 + 2a + 4ab + 20b = 25 + -25 + -20b + 20b

Combine like terms: 25 + -25 = 0
-25 + 2a + 4ab + 20b = 0 + -20b + 20b
-25 + 2a + 4ab + 20b = -20b + 20b

Combine like terms: -20b + 20b = 0
-25 + 2a + 4ab + 20b = 0

The solution to this equation could not be determined.

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