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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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