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

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


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

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

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

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

Combine like terms: 16x + -4x = 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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