x^2+2ax-3b-6ab=0

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Solution for x^2+2ax-3b-6ab=0 equation:


Simplifying
x2 + 2ax + -3b + -6ab = 0

Reorder the terms:
-6ab + 2ax + -3b + x2 = 0

Solving
-6ab + 2ax + -3b + x2 = 0

Solving for variable 'a'.

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

Add '3b' to each side of the equation.
-6ab + 2ax + -3b + 3b + x2 = 0 + 3b

Combine like terms: -3b + 3b = 0
-6ab + 2ax + 0 + x2 = 0 + 3b
-6ab + 2ax + x2 = 0 + 3b
Remove the zero:
-6ab + 2ax + x2 = 3b

Add '-1x2' to each side of the equation.
-6ab + 2ax + x2 + -1x2 = 3b + -1x2

Combine like terms: x2 + -1x2 = 0
-6ab + 2ax + 0 = 3b + -1x2
-6ab + 2ax = 3b + -1x2

Reorder the terms:
-6ab + 2ax + -3b + x2 = 3b + -3b + -1x2 + x2

Combine like terms: 3b + -3b = 0
-6ab + 2ax + -3b + x2 = 0 + -1x2 + x2
-6ab + 2ax + -3b + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-6ab + 2ax + -3b + x2 = 0

The solution to this equation could not be determined.

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