5b(a+5)-a(5-b)+3(a+b-2)=

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

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

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

Reorder the terms:
(5ab + 25b) + -1a(5 + -1b) + 3(a + b + -2) = 0
(5ab + 25b) + -1a(5 + -1b) + 3(a + b + -2) = 0
5ab + 25b + (5 * -1a + -1b * -1a) + 3(a + b + -2) = 0
5ab + 25b + (-5a + 1ab) + 3(a + b + -2) = 0

Reorder the terms:
5ab + 25b + -5a + 1ab + 3(-2 + a + b) = 0
5ab + 25b + -5a + 1ab + (-2 * 3 + a * 3 + b * 3) = 0
5ab + 25b + -5a + 1ab + (-6 + 3a + 3b) = 0

Reorder the terms:
-6 + -5a + 3a + 5ab + 1ab + 25b + 3b = 0

Combine like terms: -5a + 3a = -2a
-6 + -2a + 5ab + 1ab + 25b + 3b = 0

Combine like terms: 5ab + 1ab = 6ab
-6 + -2a + 6ab + 25b + 3b = 0

Combine like terms: 25b + 3b = 28b
-6 + -2a + 6ab + 28b = 0

Solving
-6 + -2a + 6ab + 28b = 0

Solving for variable 'a'.

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

Add '6' to each side of the equation.
-6 + -2a + 6ab + 6 + 28b = 0 + 6

Reorder the terms:
-6 + 6 + -2a + 6ab + 28b = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -2a + 6ab + 28b = 0 + 6
-2a + 6ab + 28b = 0 + 6

Combine like terms: 0 + 6 = 6
-2a + 6ab + 28b = 6

Add '-28b' to each side of the equation.
-2a + 6ab + 28b + -28b = 6 + -28b

Combine like terms: 28b + -28b = 0
-2a + 6ab + 0 = 6 + -28b
-2a + 6ab = 6 + -28b

Reorder the terms:
-6 + -2a + 6ab + 28b = 6 + -28b + -6 + 28b

Reorder the terms:
-6 + -2a + 6ab + 28b = 6 + -6 + -28b + 28b

Combine like terms: 6 + -6 = 0
-6 + -2a + 6ab + 28b = 0 + -28b + 28b
-6 + -2a + 6ab + 28b = -28b + 28b

Combine like terms: -28b + 28b = 0
-6 + -2a + 6ab + 28b = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + -1a + 3ab + 14b) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-3 + -1a + 3ab + 14b)' equal to zero and attempt to solve:

Simplifying
-3 + -1a + 3ab + 14b = 0

Solving
-3 + -1a + 3ab + 14b = 0

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

Add '3' to each side of the equation.
-3 + -1a + 3ab + 3 + 14b = 0 + 3

Reorder the terms:
-3 + 3 + -1a + 3ab + 14b = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1a + 3ab + 14b = 0 + 3
-1a + 3ab + 14b = 0 + 3

Combine like terms: 0 + 3 = 3
-1a + 3ab + 14b = 3

Add '-14b' to each side of the equation.
-1a + 3ab + 14b + -14b = 3 + -14b

Combine like terms: 14b + -14b = 0
-1a + 3ab + 0 = 3 + -14b
-1a + 3ab = 3 + -14b

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.