(8-2x)(16-2x)=0

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Solution for (8-2x)(16-2x)=0 equation: 


Simplifying
(8 + -2x)(16 + -2x) = 0

Multiply (8 + -2x) * (16 + -2x)
(8(16 + -2x) + -2x * (16 + -2x)) = 0
((16 * 8 + -2x * 8) + -2x * (16 + -2x)) = 0
((128 + -16x) + -2x * (16 + -2x)) = 0
(128 + -16x + (16 * -2x + -2x * -2x)) = 0
(128 + -16x + (-32x + 4x2)) = 0

Combine like terms: -16x + -32x = -48x
(128 + -48x + 4x2) = 0

Solving
128 + -48x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(32 + -12x + x2) = 0

Factor a trinomial.
4((4 + -1x)(8 + -1x)) = 0

Ignore the factor 4.

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 '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 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 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {4, 8}

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