3a(3a-1)=2b(x+2b)

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Solution for 3a(3a-1)=2b(x+2b) equation: 


Simplifying
3a(3a + -1) = 2b(x + 2b)

Reorder the terms:
3a(-1 + 3a) = 2b(x + 2b)
(-1 * 3a + 3a * 3a) = 2b(x + 2b)
(-3a + 9a2) = 2b(x + 2b)

Reorder the terms:
-3a + 9a2 = 2b(2b + x)
-3a + 9a2 = (2b * 2b + x * 2b)

Reorder the terms:
-3a + 9a2 = (2bx + 4b2)
-3a + 9a2 = (2bx + 4b2)

Solving
-3a + 9a2 = 2bx + 4b2

Solving for variable 'a'.

Reorder the terms:
-3a + 9a2 + -2bx + -4b2 = 2bx + -2bx + 4b2 + -4b2

Combine like terms: 2bx + -2bx = 0
-3a + 9a2 + -2bx + -4b2 = 0 + 4b2 + -4b2
-3a + 9a2 + -2bx + -4b2 = 4b2 + -4b2

Combine like terms: 4b2 + -4b2 = 0
-3a + 9a2 + -2bx + -4b2 = 0

The solution to this equation could not be determined.

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