3x(3x-1)-2(3x-1)=

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Solution for 3x(3x-1)-2(3x-1)= equation:


Simplifying
3x(3x + -1) + -2(3x + -1) = 0

Reorder the terms:
3x(-1 + 3x) + -2(3x + -1) = 0
(-1 * 3x + 3x * 3x) + -2(3x + -1) = 0
(-3x + 9x2) + -2(3x + -1) = 0

Reorder the terms:
-3x + 9x2 + -2(-1 + 3x) = 0
-3x + 9x2 + (-1 * -2 + 3x * -2) = 0
-3x + 9x2 + (2 + -6x) = 0

Reorder the terms:
2 + -3x + -6x + 9x2 = 0

Combine like terms: -3x + -6x = -9x
2 + -9x + 9x2 = 0

Solving
2 + -9x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -3x)(2 + -3x) = 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 '(2 + -3x)' equal to zero and attempt to solve:

Simplifying
2 + -3x = 0

Solving
2 + -3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667
Solution
x = {0.3333333333, 0.6666666667}

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