(3x-1)(9x^2+3x+1)=0

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Solution for (3x-1)(9x^2+3x+1)=0 equation:


Simplifying
(3x + -1)(9x2 + 3x + 1) = 0

Reorder the terms:
(-1 + 3x)(9x2 + 3x + 1) = 0

Reorder the terms:
(-1 + 3x)(1 + 3x + 9x2) = 0

Multiply (-1 + 3x) * (1 + 3x + 9x2)
(-1(1 + 3x + 9x2) + 3x * (1 + 3x + 9x2)) = 0
((1 * -1 + 3x * -1 + 9x2 * -1) + 3x * (1 + 3x + 9x2)) = 0
((-1 + -3x + -9x2) + 3x * (1 + 3x + 9x2)) = 0
(-1 + -3x + -9x2 + (1 * 3x + 3x * 3x + 9x2 * 3x)) = 0
(-1 + -3x + -9x2 + (3x + 9x2 + 27x3)) = 0

Reorder the terms:
(-1 + -3x + 3x + -9x2 + 9x2 + 27x3) = 0

Combine like terms: -3x + 3x = 0
(-1 + 0 + -9x2 + 9x2 + 27x3) = 0
(-1 + -9x2 + 9x2 + 27x3) = 0

Combine like terms: -9x2 + 9x2 = 0
(-1 + 0 + 27x3) = 0
(-1 + 27x3) = 0

Solving
-1 + 27x3 = 0

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 27x3 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 27x3 = 0 + 1
27x3 = 0 + 1

Combine like terms: 0 + 1 = 1
27x3 = 1

Divide each side by '27'.
x3 = 0.03703703704

Simplifying
x3 = 0.03703703704

Reorder the terms:
-0.03703703704 + x3 = 0.03703703704 + -0.03703703704

Combine like terms: 0.03703703704 + -0.03703703704 = 0.00000000000
-0.03703703704 + x3 = 0.00000000000

The solution to this equation could not be determined.

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