3x(9x+3)=3x+1

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Solution for 3x(9x+3)=3x+1 equation:


Simplifying
3x(9x + 3) = 3x + 1

Reorder the terms:
3x(3 + 9x) = 3x + 1
(3 * 3x + 9x * 3x) = 3x + 1
(9x + 27x2) = 3x + 1

Reorder the terms:
9x + 27x2 = 1 + 3x

Solving
9x + 27x2 = 1 + 3x

Solving for variable 'x'.

Reorder the terms:
-1 + 9x + -3x + 27x2 = 1 + 3x + -1 + -3x

Combine like terms: 9x + -3x = 6x
-1 + 6x + 27x2 = 1 + 3x + -1 + -3x

Reorder the terms:
-1 + 6x + 27x2 = 1 + -1 + 3x + -3x

Combine like terms: 1 + -1 = 0
-1 + 6x + 27x2 = 0 + 3x + -3x
-1 + 6x + 27x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-1 + 6x + 27x2 = 0

Factor a trinomial.
(-1 + -3x)(1 + -9x) = 0


Subproblem 1
Set the factor '(-1 + -3x)' equal to zero and attempt to solve:

Simplifying
-1 + -3x = 0

Solving
-1 + -3x = 0

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

Add '1' to each side of the equation.
-1 + 1 + -3x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3x = 0 + 1
-3x = 0 + 1

Combine like terms: 0 + 1 = 1
-3x = 1

Divide each side by '-3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

Subproblem 2
Set the factor '(1 + -9x)' equal to zero and attempt to solve:

Simplifying
1 + -9x = 0

Solving
1 + -9x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -9x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -9x = 0 + -1
-9x = 0 + -1

Combine like terms: 0 + -1 = -1
-9x = -1

Divide each side by '-9'.
x = 0.1111111111

Simplifying
x = 0.1111111111
Solution
x = {-0.3333333333, 0.1111111111}

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