(16-2x)(8-2x)=48

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Solution for (16-2x)(8-2x)=48 equation: 


Simplifying
(16 + -2x)(8 + -2x) = 48

Multiply (16 + -2x) * (8 + -2x)
(16(8 + -2x) + -2x * (8 + -2x)) = 48
((8 * 16 + -2x * 16) + -2x * (8 + -2x)) = 48
((128 + -32x) + -2x * (8 + -2x)) = 48
(128 + -32x + (8 * -2x + -2x * -2x)) = 48
(128 + -32x + (-16x + 4x2)) = 48

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

Solving
128 + -48x + 4x2 = 48

Solving for variable 'x'.

Reorder the terms:
128 + -48 + -48x + 4x2 = 48 + -48

Combine like terms: 128 + -48 = 80
80 + -48x + 4x2 = 48 + -48

Combine like terms: 48 + -48 = 0
80 + -48x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(20 + -12x + x2) = 0

Factor a trinomial.
4((2 + -1x)(10 + -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 '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {2, 10}

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