(2x-9)(6x-3)=

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Solution for (2x-9)(6x-3)= equation: 


Simplifying
(2x + -9)(6x + -3) = 0

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

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

Multiply (-9 + 2x) * (-3 + 6x)
(-9(-3 + 6x) + 2x * (-3 + 6x)) = 0
((-3 * -9 + 6x * -9) + 2x * (-3 + 6x)) = 0
((27 + -54x) + 2x * (-3 + 6x)) = 0
(27 + -54x + (-3 * 2x + 6x * 2x)) = 0
(27 + -54x + (-6x + 12x2)) = 0

Combine like terms: -54x + -6x = -60x
(27 + -60x + 12x2) = 0

Solving
27 + -60x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(9 + -20x + 4x2) = 0

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

Ignore the factor 3.

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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

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

Simplifying
9 + -2x = 0

Solving
9 + -2x = 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 + -2x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = 0 + -9
-2x = 0 + -9

Combine like terms: 0 + -9 = -9
-2x = -9

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5
Solution
x = {0.5, 4.5}

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