(3q+2)(9q^2-12g+4)=

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Solution for (3q+2)(9q^2-12g+4)= equation: 


Simplifying
(3q + 2)(9q2 + -12g + 4) = 0

Reorder the terms:
(2 + 3q)(9q2 + -12g + 4) = 0

Reorder the terms:
(2 + 3q)(4 + -12g + 9q2) = 0

Multiply (2 + 3q) * (4 + -12g + 9q2)
(2(4 + -12g + 9q2) + 3q * (4 + -12g + 9q2)) = 0
((4 * 2 + -12g * 2 + 9q2 * 2) + 3q * (4 + -12g + 9q2)) = 0
((8 + -24g + 18q2) + 3q * (4 + -12g + 9q2)) = 0
(8 + -24g + 18q2 + (4 * 3q + -12g * 3q + 9q2 * 3q)) = 0

Reorder the terms:
(8 + -24g + 18q2 + (-36gq + 12q + 27q3)) = 0
(8 + -24g + 18q2 + (-36gq + 12q + 27q3)) = 0

Reorder the terms:
(8 + -24g + -36gq + 12q + 18q2 + 27q3) = 0
(8 + -24g + -36gq + 12q + 18q2 + 27q3) = 0

Solving
8 + -24g + -36gq + 12q + 18q2 + 27q3 = 0

Solving for variable 'g'.

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

Add '-8' to each side of the equation.
8 + -24g + -36gq + 12q + 18q2 + -8 + 27q3 = 0 + -8

Reorder the terms:
8 + -8 + -24g + -36gq + 12q + 18q2 + 27q3 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -24g + -36gq + 12q + 18q2 + 27q3 = 0 + -8
-24g + -36gq + 12q + 18q2 + 27q3 = 0 + -8

Combine like terms: 0 + -8 = -8
-24g + -36gq + 12q + 18q2 + 27q3 = -8

Add '-12q' to each side of the equation.
-24g + -36gq + 12q + 18q2 + -12q + 27q3 = -8 + -12q

Reorder the terms:
-24g + -36gq + 12q + -12q + 18q2 + 27q3 = -8 + -12q

Combine like terms: 12q + -12q = 0
-24g + -36gq + 0 + 18q2 + 27q3 = -8 + -12q
-24g + -36gq + 18q2 + 27q3 = -8 + -12q

Add '-18q2' to each side of the equation.
-24g + -36gq + 18q2 + -18q2 + 27q3 = -8 + -12q + -18q2

Combine like terms: 18q2 + -18q2 = 0
-24g + -36gq + 0 + 27q3 = -8 + -12q + -18q2
-24g + -36gq + 27q3 = -8 + -12q + -18q2

Add '-27q3' to each side of the equation.
-24g + -36gq + 27q3 + -27q3 = -8 + -12q + -18q2 + -27q3

Combine like terms: 27q3 + -27q3 = 0
-24g + -36gq + 0 = -8 + -12q + -18q2 + -27q3
-24g + -36gq = -8 + -12q + -18q2 + -27q3

Reorder the terms:
8 + -24g + -36gq + 12q + 18q2 + 27q3 = -8 + -12q + -18q2 + -27q3 + 8 + 12q + 18q2 + 27q3

Reorder the terms:
8 + -24g + -36gq + 12q + 18q2 + 27q3 = -8 + 8 + -12q + 12q + -18q2 + 18q2 + -27q3 + 27q3

Combine like terms: -8 + 8 = 0
8 + -24g + -36gq + 12q + 18q2 + 27q3 = 0 + -12q + 12q + -18q2 + 18q2 + -27q3 + 27q3
8 + -24g + -36gq + 12q + 18q2 + 27q3 = -12q + 12q + -18q2 + 18q2 + -27q3 + 27q3

Combine like terms: -12q + 12q = 0
8 + -24g + -36gq + 12q + 18q2 + 27q3 = 0 + -18q2 + 18q2 + -27q3 + 27q3
8 + -24g + -36gq + 12q + 18q2 + 27q3 = -18q2 + 18q2 + -27q3 + 27q3

Combine like terms: -18q2 + 18q2 = 0
8 + -24g + -36gq + 12q + 18q2 + 27q3 = 0 + -27q3 + 27q3
8 + -24g + -36gq + 12q + 18q2 + 27q3 = -27q3 + 27q3

Combine like terms: -27q3 + 27q3 = 0
8 + -24g + -36gq + 12q + 18q2 + 27q3 = 0

The solution to this equation could not be determined.

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