(2x-8)*(3x-27)=

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Solution for (2x-8)*(3x-27)= equation: 


Simplifying
(2x + -8)(3x + -27) = 0

Reorder the terms:
(-8 + 2x)(3x + -27) = 0

Reorder the terms:
(-8 + 2x)(-27 + 3x) = 0

Multiply (-8 + 2x) * (-27 + 3x)
(-8(-27 + 3x) + 2x * (-27 + 3x)) = 0
((-27 * -8 + 3x * -8) + 2x * (-27 + 3x)) = 0
((216 + -24x) + 2x * (-27 + 3x)) = 0
(216 + -24x + (-27 * 2x + 3x * 2x)) = 0
(216 + -24x + (-54x + 6x2)) = 0

Combine like terms: -24x + -54x = -78x
(216 + -78x + 6x2) = 0

Solving
216 + -78x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(36 + -13x + x2) = 0

Factor a trinomial.
6((4 + -1x)(9 + -1x)) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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 = {4, 9}

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