(9x^2-2)*(3x+1)=3(27x^2+6x-2)

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Solution for (9x^2-2)*(3x+1)=3(27x^2+6x-2) equation: 


Simplifying
(9x2 + -2)(3x + 1) = 3(27x2 + 6x + -2)

Reorder the terms:
(-2 + 9x2)(3x + 1) = 3(27x2 + 6x + -2)

Reorder the terms:
(-2 + 9x2)(1 + 3x) = 3(27x2 + 6x + -2)

Multiply (-2 + 9x2) * (1 + 3x)
(-2(1 + 3x) + 9x2 * (1 + 3x)) = 3(27x2 + 6x + -2)
((1 * -2 + 3x * -2) + 9x2 * (1 + 3x)) = 3(27x2 + 6x + -2)
((-2 + -6x) + 9x2 * (1 + 3x)) = 3(27x2 + 6x + -2)
(-2 + -6x + (1 * 9x2 + 3x * 9x2)) = 3(27x2 + 6x + -2)
(-2 + -6x + (9x2 + 27x3)) = 3(27x2 + 6x + -2)
(-2 + -6x + 9x2 + 27x3) = 3(27x2 + 6x + -2)

Reorder the terms:
-2 + -6x + 9x2 + 27x3 = 3(-2 + 6x + 27x2)
-2 + -6x + 9x2 + 27x3 = (-2 * 3 + 6x * 3 + 27x2 * 3)
-2 + -6x + 9x2 + 27x3 = (-6 + 18x + 81x2)

Solving
-2 + -6x + 9x2 + 27x3 = -6 + 18x + 81x2

Solving for variable 'x'.

Reorder the terms:
-2 + 6 + -6x + -18x + 9x2 + -81x2 + 27x3 = -6 + 18x + 81x2 + 6 + -18x + -81x2

Combine like terms: -2 + 6 = 4
4 + -6x + -18x + 9x2 + -81x2 + 27x3 = -6 + 18x + 81x2 + 6 + -18x + -81x2

Combine like terms: -6x + -18x = -24x
4 + -24x + 9x2 + -81x2 + 27x3 = -6 + 18x + 81x2 + 6 + -18x + -81x2

Combine like terms: 9x2 + -81x2 = -72x2
4 + -24x + -72x2 + 27x3 = -6 + 18x + 81x2 + 6 + -18x + -81x2

Reorder the terms:
4 + -24x + -72x2 + 27x3 = -6 + 6 + 18x + -18x + 81x2 + -81x2

Combine like terms: -6 + 6 = 0
4 + -24x + -72x2 + 27x3 = 0 + 18x + -18x + 81x2 + -81x2
4 + -24x + -72x2 + 27x3 = 18x + -18x + 81x2 + -81x2

Combine like terms: 18x + -18x = 0
4 + -24x + -72x2 + 27x3 = 0 + 81x2 + -81x2
4 + -24x + -72x2 + 27x3 = 81x2 + -81x2

Combine like terms: 81x2 + -81x2 = 0
4 + -24x + -72x2 + 27x3 = 0

The solution to this equation could not be determined.

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