(3a-2)(9a^2+6a+4)=0

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Solution for (3a-2)(9a^2+6a+4)=0 equation:


Simplifying
(3a + -2)(9a2 + 6a + 4) = 0

Reorder the terms:
(-2 + 3a)(9a2 + 6a + 4) = 0

Reorder the terms:
(-2 + 3a)(4 + 6a + 9a2) = 0

Multiply (-2 + 3a) * (4 + 6a + 9a2)
(-2(4 + 6a + 9a2) + 3a * (4 + 6a + 9a2)) = 0
((4 * -2 + 6a * -2 + 9a2 * -2) + 3a * (4 + 6a + 9a2)) = 0
((-8 + -12a + -18a2) + 3a * (4 + 6a + 9a2)) = 0
(-8 + -12a + -18a2 + (4 * 3a + 6a * 3a + 9a2 * 3a)) = 0
(-8 + -12a + -18a2 + (12a + 18a2 + 27a3)) = 0

Reorder the terms:
(-8 + -12a + 12a + -18a2 + 18a2 + 27a3) = 0

Combine like terms: -12a + 12a = 0
(-8 + 0 + -18a2 + 18a2 + 27a3) = 0
(-8 + -18a2 + 18a2 + 27a3) = 0

Combine like terms: -18a2 + 18a2 = 0
(-8 + 0 + 27a3) = 0
(-8 + 27a3) = 0

Solving
-8 + 27a3 = 0

Solving for variable 'a'.

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

Add '8' to each side of the equation.
-8 + 8 + 27a3 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 27a3 = 0 + 8
27a3 = 0 + 8

Combine like terms: 0 + 8 = 8
27a3 = 8

Divide each side by '27'.
a3 = 0.2962962963

Simplifying
a3 = 0.2962962963

Reorder the terms:
-0.2962962963 + a3 = 0.2962962963 + -0.2962962963

Combine like terms: 0.2962962963 + -0.2962962963 = 0.0000000000
-0.2962962963 + a3 = 0.0000000000

The solution to this equation could not be determined.

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