1008=(2x-4)(x+8)

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Solution for 1008=(2x-4)(x+8) equation: 


Simplifying
1008 = (2x + -4)(x + 8)

Reorder the terms:
1008 = (-4 + 2x)(x + 8)

Reorder the terms:
1008 = (-4 + 2x)(8 + x)

Multiply (-4 + 2x) * (8 + x)
1008 = (-4(8 + x) + 2x * (8 + x))
1008 = ((8 * -4 + x * -4) + 2x * (8 + x))
1008 = ((-32 + -4x) + 2x * (8 + x))
1008 = (-32 + -4x + (8 * 2x + x * 2x))
1008 = (-32 + -4x + (16x + 2x2))

Combine like terms: -4x + 16x = 12x
1008 = (-32 + 12x + 2x2)

Solving
1008 = -32 + 12x + 2x2

Solving for variable 'x'.

Combine like terms: 1008 + 32 = 1040
1040 + -12x + -2x2 = -32 + 12x + 2x2 + 32 + -12x + -2x2

Reorder the terms:
1040 + -12x + -2x2 = -32 + 32 + 12x + -12x + 2x2 + -2x2

Combine like terms: -32 + 32 = 0
1040 + -12x + -2x2 = 0 + 12x + -12x + 2x2 + -2x2
1040 + -12x + -2x2 = 12x + -12x + 2x2 + -2x2

Combine like terms: 12x + -12x = 0
1040 + -12x + -2x2 = 0 + 2x2 + -2x2
1040 + -12x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
1040 + -12x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(520 + -6x + -1x2) = 0

Factor a trinomial.
2((20 + -1x)(26 + x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20

Subproblem 2
Set the factor '(26 + x)' equal to zero and attempt to solve:

Simplifying
26 + x = 0

Solving
26 + x = 0

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

Add '-26' to each side of the equation.
26 + -26 + x = 0 + -26

Combine like terms: 26 + -26 = 0
0 + x = 0 + -26
x = 0 + -26

Combine like terms: 0 + -26 = -26
x = -26

Simplifying
x = -26
Solution
x = {20, -26}

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