=-(2a^2-7ab+6b^2-11+(a^2-(2ab-5b^2+2)+4(-6a^2-2b^2-1)-7)+4ab)

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Solution for =-(2a^2-7ab+6b^2-11+(a^2-(2ab-5b^2+2)+4(-6a^2-2b^2-1)-7)+4ab) equation:


Simplifying
0 = -1(2a2 + -7ab + 6b2 + -11 + (a2 + -1(2ab + -5b2 + 2) + 4(-6a2 + -2b2 + -1) + -7) + 4ab)

Reorder the terms:
0 = -1(2a2 + -7ab + 6b2 + -11 + (a2 + -1(2 + 2ab + -5b2) + 4(-6a2 + -2b2 + -1) + -7) + 4ab)
0 = -1(2a2 + -7ab + 6b2 + -11 + (a2 + (2 * -1 + 2ab * -1 + -5b2 * -1) + 4(-6a2 + -2b2 + -1) + -7) + 4ab)
0 = -1(2a2 + -7ab + 6b2 + -11 + (a2 + (-2 + -2ab + 5b2) + 4(-6a2 + -2b2 + -1) + -7) + 4ab)

Reorder the terms:
0 = -1(2a2 + -7ab + 6b2 + -11 + (a2 + -2 + -2ab + 5b2 + 4(-1 + -6a2 + -2b2) + -7) + 4ab)
0 = -1(2a2 + -7ab + 6b2 + -11 + (a2 + -2 + -2ab + 5b2 + (-1 * 4 + -6a2 * 4 + -2b2 * 4) + -7) + 4ab)
0 = -1(2a2 + -7ab + 6b2 + -11 + (a2 + -2 + -2ab + 5b2 + (-4 + -24a2 + -8b2) + -7) + 4ab)

Reorder the terms:
0 = -1(2a2 + -7ab + 6b2 + -11 + (-2 + -4 + -7 + -2ab + a2 + -24a2 + 5b2 + -8b2) + 4ab)

Combine like terms: -2 + -4 = -6
0 = -1(2a2 + -7ab + 6b2 + -11 + (-6 + -7 + -2ab + a2 + -24a2 + 5b2 + -8b2) + 4ab)

Combine like terms: -6 + -7 = -13
0 = -1(2a2 + -7ab + 6b2 + -11 + (-13 + -2ab + a2 + -24a2 + 5b2 + -8b2) + 4ab)

Combine like terms: a2 + -24a2 = -23a2
0 = -1(2a2 + -7ab + 6b2 + -11 + (-13 + -2ab + -23a2 + 5b2 + -8b2) + 4ab)

Combine like terms: 5b2 + -8b2 = -3b2
0 = -1(2a2 + -7ab + 6b2 + -11 + (-13 + -2ab + -23a2 + -3b2) + 4ab)

Remove parenthesis around (-13 + -2ab + -23a2 + -3b2)
0 = -1(2a2 + -7ab + 6b2 + -11 + -13 + -2ab + -23a2 + -3b2 + 4ab)

Reorder the terms:
0 = -1(-11 + -13 + -7ab + -2ab + 4ab + 2a2 + -23a2 + 6b2 + -3b2)

Combine like terms: -11 + -13 = -24
0 = -1(-24 + -7ab + -2ab + 4ab + 2a2 + -23a2 + 6b2 + -3b2)

Combine like terms: -7ab + -2ab = -9ab
0 = -1(-24 + -9ab + 4ab + 2a2 + -23a2 + 6b2 + -3b2)

Combine like terms: -9ab + 4ab = -5ab
0 = -1(-24 + -5ab + 2a2 + -23a2 + 6b2 + -3b2)

Combine like terms: 2a2 + -23a2 = -21a2
0 = -1(-24 + -5ab + -21a2 + 6b2 + -3b2)

Combine like terms: 6b2 + -3b2 = 3b2
0 = -1(-24 + -5ab + -21a2 + 3b2)
0 = (-24 * -1 + -5ab * -1 + -21a2 * -1 + 3b2 * -1)
0 = (24 + 5ab + 21a2 + -3b2)

Solving
0 = 24 + 5ab + 21a2 + -3b2

Solving for variable 'a'.

Combine like terms: 0 + -24 = -24
-24 + -5ab + -21a2 + 3b2 = 24 + 5ab + 21a2 + -3b2 + -24 + -5ab + -21a2 + 3b2

Reorder the terms:
-24 + -5ab + -21a2 + 3b2 = 24 + -24 + 5ab + -5ab + 21a2 + -21a2 + -3b2 + 3b2

Combine like terms: 24 + -24 = 0
-24 + -5ab + -21a2 + 3b2 = 0 + 5ab + -5ab + 21a2 + -21a2 + -3b2 + 3b2
-24 + -5ab + -21a2 + 3b2 = 5ab + -5ab + 21a2 + -21a2 + -3b2 + 3b2

Combine like terms: 5ab + -5ab = 0
-24 + -5ab + -21a2 + 3b2 = 0 + 21a2 + -21a2 + -3b2 + 3b2
-24 + -5ab + -21a2 + 3b2 = 21a2 + -21a2 + -3b2 + 3b2

Combine like terms: 21a2 + -21a2 = 0
-24 + -5ab + -21a2 + 3b2 = 0 + -3b2 + 3b2
-24 + -5ab + -21a2 + 3b2 = -3b2 + 3b2

Combine like terms: -3b2 + 3b2 = 0
-24 + -5ab + -21a2 + 3b2 = 0

The solution to this equation could not be determined.

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