480=(2x-4)(x+6)

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Solution for 480=(2x-4)(x+6) equation: 


Simplifying
480 = (2x + -4)(x + 6)

Reorder the terms:
480 = (-4 + 2x)(x + 6)

Reorder the terms:
480 = (-4 + 2x)(6 + x)

Multiply (-4 + 2x) * (6 + x)
480 = (-4(6 + x) + 2x * (6 + x))
480 = ((6 * -4 + x * -4) + 2x * (6 + x))
480 = ((-24 + -4x) + 2x * (6 + x))
480 = (-24 + -4x + (6 * 2x + x * 2x))
480 = (-24 + -4x + (12x + 2x2))

Combine like terms: -4x + 12x = 8x
480 = (-24 + 8x + 2x2)

Solving
480 = -24 + 8x + 2x2

Solving for variable 'x'.

Combine like terms: 480 + 24 = 504
504 + -8x + -2x2 = -24 + 8x + 2x2 + 24 + -8x + -2x2

Reorder the terms:
504 + -8x + -2x2 = -24 + 24 + 8x + -8x + 2x2 + -2x2

Combine like terms: -24 + 24 = 0
504 + -8x + -2x2 = 0 + 8x + -8x + 2x2 + -2x2
504 + -8x + -2x2 = 8x + -8x + 2x2 + -2x2

Combine like terms: 8x + -8x = 0
504 + -8x + -2x2 = 0 + 2x2 + -2x2
504 + -8x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
504 + -8x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(252 + -4x + -1x2) = 0

Factor a trinomial.
2((14 + -1x)(18 + x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(14 + -1x)' equal to zero and attempt to solve:

Simplifying
14 + -1x = 0

Solving
14 + -1x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 0 + -14
-1x = 0 + -14

Combine like terms: 0 + -14 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14

Subproblem 2
Set the factor '(18 + x)' equal to zero and attempt to solve:

Simplifying
18 + x = 0

Solving
18 + x = 0

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

Add '-18' to each side of the equation.
18 + -18 + x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + x = 0 + -18
x = 0 + -18

Combine like terms: 0 + -18 = -18
x = -18

Simplifying
x = -18
Solution
x = {14, -18}

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