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

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


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

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

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

Multiply (-2 + 3x) * (-9 + 3x)
(-2(-9 + 3x) + 3x * (-9 + 3x)) = 0
((-9 * -2 + 3x * -2) + 3x * (-9 + 3x)) = 0
((18 + -6x) + 3x * (-9 + 3x)) = 0
(18 + -6x + (-9 * 3x + 3x * 3x)) = 0
(18 + -6x + (-27x + 9x2)) = 0

Combine like terms: -6x + -27x = -33x
(18 + -33x + 9x2) = 0

Solving
18 + -33x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(6 + -11x + 3x2) = 0

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

Ignore the factor 3.

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 '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

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

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {0.6666666667, 3}

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