(x-9)(3x-2)=

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Solution for (x-9)(3x-2)= equation: 


Simplifying
(x + -9)(3x + -2) = 0

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

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

Multiply (-9 + x) * (-2 + 3x)
(-9(-2 + 3x) + x(-2 + 3x)) = 0
((-2 * -9 + 3x * -9) + x(-2 + 3x)) = 0
((18 + -27x) + x(-2 + 3x)) = 0
(18 + -27x + (-2 * x + 3x * x)) = 0
(18 + -27x + (-2x + 3x2)) = 0

Combine like terms: -27x + -2x = -29x
(18 + -29x + 3x2) = 0

Solving
18 + -29x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + -3x)(9 + -1x) = 0


Subproblem 1
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

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

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

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

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

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

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {0.6666666667, 9}

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