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

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


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

Reorder the terms:
(-8 + 2x)(x + 8) = 0

Reorder the terms:
(-8 + 2x)(8 + x) = 0

Multiply (-8 + 2x) * (8 + x)
(-8(8 + x) + 2x * (8 + x)) = 0
((8 * -8 + x * -8) + 2x * (8 + x)) = 0
((-64 + -8x) + 2x * (8 + x)) = 0
(-64 + -8x + (8 * 2x + x * 2x)) = 0
(-64 + -8x + (16x + 2x2)) = 0

Combine like terms: -8x + 16x = 8x
(-64 + 8x + 2x2) = 0

Solving
-64 + 8x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-32 + 4x + x2) = 0

Factor a trinomial.
2((-8 + -1x)(4 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
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
Solution
x = {-8, 4}

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