(4x-8)(x-12)=0

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Solution for (4x-8)(x-12)=0 equation: 


Simplifying
(4x + -8)(x + -12) = 0

Reorder the terms:
(-8 + 4x)(x + -12) = 0

Reorder the terms:
(-8 + 4x)(-12 + x) = 0

Multiply (-8 + 4x) * (-12 + x)
(-8(-12 + x) + 4x * (-12 + x)) = 0
((-12 * -8 + x * -8) + 4x * (-12 + x)) = 0
((96 + -8x) + 4x * (-12 + x)) = 0
(96 + -8x + (-12 * 4x + x * 4x)) = 0
(96 + -8x + (-48x + 4x2)) = 0

Combine like terms: -8x + -48x = -56x
(96 + -56x + 4x2) = 0

Solving
96 + -56x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(24 + -14x + x2) = 0

Factor a trinomial.
4((2 + -1x)(12 + -1x)) = 0

Ignore the factor 4.

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

Simplifying
2 + -1x = 0

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

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

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Solution
x = {2, 12}

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