6az^2-2ac+9bz^2-3bc=0

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Solution for 6az^2-2ac+9bz^2-3bc=0 equation:


Simplifying
6az2 + -2ac + 9bz2 + -3bc = 0

Reorder the terms:
-2ac + 6az2 + -3bc + 9bz2 = 0

Solving
-2ac + 6az2 + -3bc + 9bz2 = 0

Solving for variable 'a'.

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

Add '3bc' to each side of the equation.
-2ac + 6az2 + -3bc + 3bc + 9bz2 = 0 + 3bc

Combine like terms: -3bc + 3bc = 0
-2ac + 6az2 + 0 + 9bz2 = 0 + 3bc
-2ac + 6az2 + 9bz2 = 0 + 3bc
Remove the zero:
-2ac + 6az2 + 9bz2 = 3bc

Add '-9bz2' to each side of the equation.
-2ac + 6az2 + 9bz2 + -9bz2 = 3bc + -9bz2

Combine like terms: 9bz2 + -9bz2 = 0
-2ac + 6az2 + 0 = 3bc + -9bz2
-2ac + 6az2 = 3bc + -9bz2

Reorder the terms:
-2ac + 6az2 + -3bc + 9bz2 = 3bc + -3bc + -9bz2 + 9bz2

Combine like terms: 3bc + -3bc = 0
-2ac + 6az2 + -3bc + 9bz2 = 0 + -9bz2 + 9bz2
-2ac + 6az2 + -3bc + 9bz2 = -9bz2 + 9bz2

Combine like terms: -9bz2 + 9bz2 = 0
-2ac + 6az2 + -3bc + 9bz2 = 0

The solution to this equation could not be determined.

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