(3x-8)(12x-6)=

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Solution for (3x-8)(12x-6)= equation: 


Simplifying
(3x + -8)(12x + -6) = 0

Reorder the terms:
(-8 + 3x)(12x + -6) = 0

Reorder the terms:
(-8 + 3x)(-6 + 12x) = 0

Multiply (-8 + 3x) * (-6 + 12x)
(-8(-6 + 12x) + 3x * (-6 + 12x)) = 0
((-6 * -8 + 12x * -8) + 3x * (-6 + 12x)) = 0
((48 + -96x) + 3x * (-6 + 12x)) = 0
(48 + -96x + (-6 * 3x + 12x * 3x)) = 0
(48 + -96x + (-18x + 36x2)) = 0

Combine like terms: -96x + -18x = -114x
(48 + -114x + 36x2) = 0

Solving
48 + -114x + 36x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(8 + -19x + 6x2) = 0

Factor a trinomial.
6((1 + -2x)(8 + -3x)) = 0

Ignore the factor 6.

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 '(8 + -3x)' equal to zero and attempt to solve:

Simplifying
8 + -3x = 0

Solving
8 + -3x = 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 + -3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = 0 + -8
-3x = 0 + -8

Combine like terms: 0 + -8 = -8
-3x = -8

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667
Solution
x = {0.5, 2.666666667}

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