(X+10)(x-4)=(x+2)

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Solution for (X+10)(x-4)=(x+2) equation: 


Simplifying
(X + 10)(x + -4) = (x + 2)

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

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

Multiply (10 + X) * (-4 + x)
(10(-4 + x) + X(-4 + x)) = (x + 2)
((-4 * 10 + x * 10) + X(-4 + x)) = (x + 2)
((-40 + 10x) + X(-4 + x)) = (x + 2)
(-40 + 10x + (-4 * X + x * X)) = (x + 2)
(-40 + 10x + (-4X + xX)) = (x + 2)

Reorder the terms:
(-40 + -4X + 10x + xX) = (x + 2)
(-40 + -4X + 10x + xX) = (x + 2)

Reorder the terms:
-40 + -4X + 10x + xX = (2 + x)

Remove parenthesis around (2 + x)
-40 + -4X + 10x + xX = 2 + x

Solving
-40 + -4X + 10x + xX = 2 + x

Solving for variable 'X'.

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

Add '40' to each side of the equation.
-40 + -4X + 10x + 40 + xX = 2 + 40 + x

Reorder the terms:
-40 + 40 + -4X + 10x + xX = 2 + 40 + x

Combine like terms: -40 + 40 = 0
0 + -4X + 10x + xX = 2 + 40 + x
-4X + 10x + xX = 2 + 40 + x

Combine like terms: 2 + 40 = 42
-4X + 10x + xX = 42 + x

Add '-10x' to each side of the equation.
-4X + 10x + -10x + xX = 42 + x + -10x

Combine like terms: 10x + -10x = 0
-4X + 0 + xX = 42 + x + -10x
-4X + xX = 42 + x + -10x

Combine like terms: x + -10x = -9x
-4X + xX = 42 + -9x

Reorder the terms:
-42 + -4X + 9x + xX = 42 + -9x + -42 + 9x

Reorder the terms:
-42 + -4X + 9x + xX = 42 + -42 + -9x + 9x

Combine like terms: 42 + -42 = 0
-42 + -4X + 9x + xX = 0 + -9x + 9x
-42 + -4X + 9x + xX = -9x + 9x

Combine like terms: -9x + 9x = 0
-42 + -4X + 9x + xX = 0

The solution to this equation could not be determined.

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