9x(4x-1)=3x-1

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Solution for 9x(4x-1)=3x-1 equation: 


Simplifying
9x(4x + -1) = 3x + -1

Reorder the terms:
9x(-1 + 4x) = 3x + -1
(-1 * 9x + 4x * 9x) = 3x + -1
(-9x + 36x2) = 3x + -1

Reorder the terms:
-9x + 36x2 = -1 + 3x

Solving
-9x + 36x2 = -1 + 3x

Solving for variable 'x'.

Reorder the terms:
1 + -9x + -3x + 36x2 = -1 + 3x + 1 + -3x

Combine like terms: -9x + -3x = -12x
1 + -12x + 36x2 = -1 + 3x + 1 + -3x

Reorder the terms:
1 + -12x + 36x2 = -1 + 1 + 3x + -3x

Combine like terms: -1 + 1 = 0
1 + -12x + 36x2 = 0 + 3x + -3x
1 + -12x + 36x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
1 + -12x + 36x2 = 0

Factor a trinomial.
(1 + -6x)(1 + -6x) = 0


Subproblem 1
Set the factor '(1 + -6x)' equal to zero and attempt to solve:

Simplifying
1 + -6x = 0

Solving
1 + -6x = 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 + -6x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6x = 0 + -1
-6x = 0 + -1

Combine like terms: 0 + -1 = -1
-6x = -1

Divide each side by '-6'.
x = 0.1666666667

Simplifying
x = 0.1666666667

Subproblem 2
Set the factor '(1 + -6x)' equal to zero and attempt to solve:

Simplifying
1 + -6x = 0

Solving
1 + -6x = 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 + -6x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6x = 0 + -1
-6x = 0 + -1

Combine like terms: 0 + -1 = -1
-6x = -1

Divide each side by '-6'.
x = 0.1666666667

Simplifying
x = 0.1666666667
Solution
x = {0.1666666667, 0.1666666667}

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