(8x+4)(x+8)=

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Solution for (8x+4)(x+8)= equation: 


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

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

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

Multiply (4 + 8x) * (8 + x)
(4(8 + x) + 8x * (8 + x)) = 0
((8 * 4 + x * 4) + 8x * (8 + x)) = 0
((32 + 4x) + 8x * (8 + x)) = 0
(32 + 4x + (8 * 8x + x * 8x)) = 0
(32 + 4x + (64x + 8x2)) = 0

Combine like terms: 4x + 64x = 68x
(32 + 68x + 8x2) = 0

Solving
32 + 68x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(8 + 17x + 2x2) = 0

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

Ignore the factor 4.

Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

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

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

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

Simplifying
x = -8

Subproblem 2
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
Solution
x = {-8, -0.5}

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