(8x-1)(4x+8)=0

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Solution for (8x-1)(4x+8)=0 equation: 


Simplifying
(8x + -1)(4x + 8) = 0

Reorder the terms:
(-1 + 8x)(4x + 8) = 0

Reorder the terms:
(-1 + 8x)(8 + 4x) = 0

Multiply (-1 + 8x) * (8 + 4x)
(-1(8 + 4x) + 8x * (8 + 4x)) = 0
((8 * -1 + 4x * -1) + 8x * (8 + 4x)) = 0
((-8 + -4x) + 8x * (8 + 4x)) = 0
(-8 + -4x + (8 * 8x + 4x * 8x)) = 0
(-8 + -4x + (64x + 32x2)) = 0

Combine like terms: -4x + 64x = 60x
(-8 + 60x + 32x2) = 0

Solving
-8 + 60x + 32x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-2 + 15x + 8x2) = 0

Factor a trinomial.
4((-2 + -1x)(1 + -8x)) = 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 '(1 + -8x)' equal to zero and attempt to solve:

Simplifying
1 + -8x = 0

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

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

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

Divide each side by '-8'.
x = 0.125

Simplifying
x = 0.125
Solution
x = {-2, 0.125}

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