=a(b+c+11)

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Solution for =a(b+c+11) equation:


Simplifying
0 = a(b + c + 11)

Reorder the terms:
0 = a(11 + b + c)
0 = (11 * a + b * a + c * a)
0 = (11a + ab + ac)

Solving
0 = 11a + ab + ac

Solving for variable 'a'.

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

Add '-11a' to each side of the equation.
0 + -11a = 11a + ab + -11a + ac
Remove the zero:
-11a = 11a + ab + -11a + ac

Reorder the terms:
-11a = 11a + -11a + ab + ac

Combine like terms: 11a + -11a = 0
-11a = 0 + ab + ac
-11a = ab + ac

Add '-1ab' to each side of the equation.
-11a + -1ab = ab + -1ab + ac

Combine like terms: ab + -1ab = 0
-11a + -1ab = 0 + ac
-11a + -1ab = ac

Add '-1ac' to each side of the equation.
-11a + -1ab + -1ac = ac + -1ac

Combine like terms: ac + -1ac = 0
-11a + -1ab + -1ac = 0

Factor out the Greatest Common Factor (GCF), '-1a'.
-1a(11 + b + c) = 0

Ignore the factor -1.

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 '(11 + b + c)' equal to zero and attempt to solve: Simplifying 11 + b + c = 0 Solving 11 + b + c = 0 Move all terms containing a to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + b + -11 + c = 0 + -11 Reorder the terms: 11 + -11 + b + c = 0 + -11 Combine like terms: 11 + -11 = 0 0 + b + c = 0 + -11 b + c = 0 + -11 Combine like terms: 0 + -11 = -11 b + c = -11 Add '-1b' to each side of the equation. b + -1b + c = -11 + -1b Combine like terms: b + -1b = 0 0 + c = -11 + -1b c = -11 + -1b Add '-1c' to each side of the equation. c + -1c = -11 + -1b + -1c Combine like terms: c + -1c = 0 0 = -11 + -1b + -1c Simplifying 0 = -11 + -1b + -1c 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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