a(a+2b-3c)+3c(a-2b+3c)-2b(a-b-3c)=

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Solution for a(a+2b-3c)+3c(a-2b+3c)-2b(a-b-3c)= equation: 


Simplifying
a(a + 2b + -3c) + 3c(a + -2b + 3c) + -2b(a + -1b + -3c) = 0
(a * a + 2b * a + -3c * a) + 3c(a + -2b + 3c) + -2b(a + -1b + -3c) = 0

Reorder the terms:
(2ab + -3ac + a2) + 3c(a + -2b + 3c) + -2b(a + -1b + -3c) = 0
(2ab + -3ac + a2) + 3c(a + -2b + 3c) + -2b(a + -1b + -3c) = 0
2ab + -3ac + a2 + (a * 3c + -2b * 3c + 3c * 3c) + -2b(a + -1b + -3c) = 0
2ab + -3ac + a2 + (3ac + -6bc + 9c2) + -2b(a + -1b + -3c) = 0
2ab + -3ac + a2 + 3ac + -6bc + 9c2 + (a * -2b + -1b * -2b + -3c * -2b) = 0

Reorder the terms:
2ab + -3ac + a2 + 3ac + -6bc + 9c2 + (-2ab + 6bc + 2b2) = 0
2ab + -3ac + a2 + 3ac + -6bc + 9c2 + (-2ab + 6bc + 2b2) = 0

Reorder the terms:
2ab + -2ab + -3ac + 3ac + a2 + -6bc + 6bc + 2b2 + 9c2 = 0

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

Combine like terms: -3ac + 3ac = 0
0 + a2 + -6bc + 6bc + 2b2 + 9c2 = 0
a2 + -6bc + 6bc + 2b2 + 9c2 = 0

Combine like terms: -6bc + 6bc = 0
a2 + 0 + 2b2 + 9c2 = 0
a2 + 2b2 + 9c2 = 0

Solving
a2 + 2b2 + 9c2 = 0

Solving for variable 'a'.

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

Add '-2b2' to each side of the equation.
a2 + 2b2 + -2b2 + 9c2 = 0 + -2b2

Combine like terms: 2b2 + -2b2 = 0
a2 + 0 + 9c2 = 0 + -2b2
a2 + 9c2 = 0 + -2b2
Remove the zero:
a2 + 9c2 = -2b2

Add '-9c2' to each side of the equation.
a2 + 9c2 + -9c2 = -2b2 + -9c2

Combine like terms: 9c2 + -9c2 = 0
a2 + 0 = -2b2 + -9c2
a2 = -2b2 + -9c2

Simplifying
a2 = -2b2 + -9c2

Reorder the terms:
a2 + 2b2 + 9c2 = -2b2 + 2b2 + -9c2 + 9c2

Combine like terms: -2b2 + 2b2 = 0
a2 + 2b2 + 9c2 = 0 + -9c2 + 9c2
a2 + 2b2 + 9c2 = -9c2 + 9c2

Combine like terms: -9c2 + 9c2 = 0
a2 + 2b2 + 9c2 = 0

The solution to this equation could not be determined.

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