(3x-18)(-x+8)=0

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Solution for (3x-18)(-x+8)=0 equation: 


Simplifying
(3x + -18)(-1x + 8) = 0

Reorder the terms:
(-18 + 3x)(-1x + 8) = 0

Reorder the terms:
(-18 + 3x)(8 + -1x) = 0

Multiply (-18 + 3x) * (8 + -1x)
(-18(8 + -1x) + 3x * (8 + -1x)) = 0
((8 * -18 + -1x * -18) + 3x * (8 + -1x)) = 0
((-144 + 18x) + 3x * (8 + -1x)) = 0
(-144 + 18x + (8 * 3x + -1x * 3x)) = 0
(-144 + 18x + (24x + -3x2)) = 0

Combine like terms: 18x + 24x = 42x
(-144 + 42x + -3x2) = 0

Solving
-144 + 42x + -3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-48 + 14x + -1x2) = 0

Factor a trinomial.
3((-8 + x)(6 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-8 + x)' equal to zero and attempt to solve:

Simplifying
-8 + x = 0

Solving
-8 + x = 0

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

Add '8' to each side of the equation.
-8 + 8 + x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + x = 0 + 8
x = 0 + 8

Combine like terms: 0 + 8 = 8
x = 8

Simplifying
x = 8

Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {8, 6}

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