2a^2+3a-4ab-6a^2+2a-4ab+4a^2-9a+ab=

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Solution for 2a^2+3a-4ab-6a^2+2a-4ab+4a^2-9a+ab= equation:


Simplifying
2a2 + 3a + -4ab + -6a2 + 2a + -4ab + 4a2 + -9a + ab = 0

Reorder the terms:
3a + 2a + -9a + -4ab + -4ab + ab + 2a2 + -6a2 + 4a2 = 0

Combine like terms: 3a + 2a = 5a
5a + -9a + -4ab + -4ab + ab + 2a2 + -6a2 + 4a2 = 0

Combine like terms: 5a + -9a = -4a
-4a + -4ab + -4ab + ab + 2a2 + -6a2 + 4a2 = 0

Combine like terms: -4ab + -4ab = -8ab
-4a + -8ab + ab + 2a2 + -6a2 + 4a2 = 0

Combine like terms: -8ab + ab = -7ab
-4a + -7ab + 2a2 + -6a2 + 4a2 = 0

Combine like terms: 2a2 + -6a2 = -4a2
-4a + -7ab + -4a2 + 4a2 = 0

Combine like terms: -4a2 + 4a2 = 0
-4a + -7ab + 0 = 0
-4a + -7ab = 0

Solving
-4a + -7ab = 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), '-1a'.
-1a(4 + 7b) = 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 '(4 + 7b)' equal to zero and attempt to solve: Simplifying 4 + 7b = 0 Solving 4 + 7b = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7b = 0 + -4 7b = 0 + -4 Combine like terms: 0 + -4 = -4 7b = -4 Add '-7b' to each side of the equation. 7b + -7b = -4 + -7b Combine like terms: 7b + -7b = 0 0 = -4 + -7b Simplifying 0 = -4 + -7b 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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