4a^2-3ab-6b^2+5c^2+(-2a^2+7ab-4b^2-3c^2)+(-9a^2-8ab+5b^2-6c^2)=

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Solution for 4a^2-3ab-6b^2+5c^2+(-2a^2+7ab-4b^2-3c^2)+(-9a^2-8ab+5b^2-6c^2)= equation: 


Simplifying
4a2 + -3ab + -6b2 + 5c2 + (-2a2 + 7ab + -4b2 + -3c2) + (-9a2 + -8ab + 5b2 + -6c2) = 0

Reorder the terms:
4a2 + -3ab + -6b2 + 5c2 + (7ab + -2a2 + -4b2 + -3c2) + (-9a2 + -8ab + 5b2 + -6c2) = 0

Remove parenthesis around (7ab + -2a2 + -4b2 + -3c2)
4a2 + -3ab + -6b2 + 5c2 + 7ab + -2a2 + -4b2 + -3c2 + (-9a2 + -8ab + 5b2 + -6c2) = 0

Reorder the terms:
4a2 + -3ab + -6b2 + 5c2 + 7ab + -2a2 + -4b2 + -3c2 + (-8ab + -9a2 + 5b2 + -6c2) = 0

Remove parenthesis around (-8ab + -9a2 + 5b2 + -6c2)
4a2 + -3ab + -6b2 + 5c2 + 7ab + -2a2 + -4b2 + -3c2 + -8ab + -9a2 + 5b2 + -6c2 = 0

Reorder the terms:
-3ab + 7ab + -8ab + 4a2 + -2a2 + -9a2 + -6b2 + -4b2 + 5b2 + 5c2 + -3c2 + -6c2 = 0

Combine like terms: -3ab + 7ab = 4ab
4ab + -8ab + 4a2 + -2a2 + -9a2 + -6b2 + -4b2 + 5b2 + 5c2 + -3c2 + -6c2 = 0

Combine like terms: 4ab + -8ab = -4ab
-4ab + 4a2 + -2a2 + -9a2 + -6b2 + -4b2 + 5b2 + 5c2 + -3c2 + -6c2 = 0

Combine like terms: 4a2 + -2a2 = 2a2
-4ab + 2a2 + -9a2 + -6b2 + -4b2 + 5b2 + 5c2 + -3c2 + -6c2 = 0

Combine like terms: 2a2 + -9a2 = -7a2
-4ab + -7a2 + -6b2 + -4b2 + 5b2 + 5c2 + -3c2 + -6c2 = 0

Combine like terms: -6b2 + -4b2 = -10b2
-4ab + -7a2 + -10b2 + 5b2 + 5c2 + -3c2 + -6c2 = 0

Combine like terms: -10b2 + 5b2 = -5b2
-4ab + -7a2 + -5b2 + 5c2 + -3c2 + -6c2 = 0

Combine like terms: 5c2 + -3c2 = 2c2
-4ab + -7a2 + -5b2 + 2c2 + -6c2 = 0

Combine like terms: 2c2 + -6c2 = -4c2
-4ab + -7a2 + -5b2 + -4c2 = 0

Solving
-4ab + -7a2 + -5b2 + -4c2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(4ab + 7a2 + 5b2 + 4c2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(4ab + 7a2 + 5b2 + 4c2)' equal to zero and attempt to solve:

Simplifying
4ab + 7a2 + 5b2 + 4c2 = 0

Solving
4ab + 7a2 + 5b2 + 4c2 = 0

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.

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