21ab+3a-6ab-5abc-20ab+10a+25a=

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Solution for 21ab+3a-6ab-5abc-20ab+10a+25a= equation:


Simplifying
21ab + 3a + -6ab + -5abc + -20ab + 10a + 25a = 0

Reorder the terms:
3a + 10a + 25a + 21ab + -6ab + -20ab + -5abc = 0

Combine like terms: 3a + 10a = 13a
13a + 25a + 21ab + -6ab + -20ab + -5abc = 0

Combine like terms: 13a + 25a = 38a
38a + 21ab + -6ab + -20ab + -5abc = 0

Combine like terms: 21ab + -6ab = 15ab
38a + 15ab + -20ab + -5abc = 0

Combine like terms: 15ab + -20ab = -5ab
38a + -5ab + -5abc = 0

Solving
38a + -5ab + -5abc = 0

Solving for variable 'a'.

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

Factor out the Greatest Common Factor (GCF), 'a'.
a(38 + -5b + -5bc) = 0

Subproblem 1

Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0

Subproblem 2

Set the factor '(38 + -5b + -5bc)' equal to zero and attempt to solve: Simplifying 38 + -5b + -5bc = 0 Solving 38 + -5b + -5bc = 0 Move all terms containing a to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -5b + -38 + -5bc = 0 + -38 Reorder the terms: 38 + -38 + -5b + -5bc = 0 + -38 Combine like terms: 38 + -38 = 0 0 + -5b + -5bc = 0 + -38 -5b + -5bc = 0 + -38 Combine like terms: 0 + -38 = -38 -5b + -5bc = -38 Add '5b' to each side of the equation. -5b + 5b + -5bc = -38 + 5b Combine like terms: -5b + 5b = 0 0 + -5bc = -38 + 5b -5bc = -38 + 5b Add '5bc' to each side of the equation. -5bc + 5bc = -38 + 5b + 5bc Combine like terms: -5bc + 5bc = 0 0 = -38 + 5b + 5bc Simplifying 0 = -38 + 5b + 5bc The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

a = {0}

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