(X+2)(x-4)=16

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Solution for (X+2)(x-4)=16 equation:


Simplifying
(X + 2)(x + -4) = 16

Reorder the terms:
(2 + X)(x + -4) = 16

Reorder the terms:
(2 + X)(-4 + x) = 16

Multiply (2 + X) * (-4 + x)
(2(-4 + x) + X(-4 + x)) = 16
((-4 * 2 + x * 2) + X(-4 + x)) = 16
((-8 + 2x) + X(-4 + x)) = 16
(-8 + 2x + (-4 * X + x * X)) = 16
(-8 + 2x + (-4X + xX)) = 16

Reorder the terms:
(-8 + -4X + 2x + xX) = 16
(-8 + -4X + 2x + xX) = 16

Solving
-8 + -4X + 2x + xX = 16

Solving for variable 'X'.

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

Add '8' to each side of the equation.
-8 + -4X + 2x + 8 + xX = 16 + 8

Reorder the terms:
-8 + 8 + -4X + 2x + xX = 16 + 8

Combine like terms: -8 + 8 = 0
0 + -4X + 2x + xX = 16 + 8
-4X + 2x + xX = 16 + 8

Combine like terms: 16 + 8 = 24
-4X + 2x + xX = 24

Add '-2x' to each side of the equation.
-4X + 2x + -2x + xX = 24 + -2x

Combine like terms: 2x + -2x = 0
-4X + 0 + xX = 24 + -2x
-4X + xX = 24 + -2x

Reorder the terms:
-24 + -4X + 2x + xX = 24 + -2x + -24 + 2x

Reorder the terms:
-24 + -4X + 2x + xX = 24 + -24 + -2x + 2x

Combine like terms: 24 + -24 = 0
-24 + -4X + 2x + xX = 0 + -2x + 2x
-24 + -4X + 2x + xX = -2x + 2x

Combine like terms: -2x + 2x = 0
-24 + -4X + 2x + xX = 0

The solution to this equation could not be determined.

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