(X-3)(x+4)=-4(4+x)

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Solution for (X-3)(x+4)=-4(4+x) equation: 


Simplifying
(X + -3)(x + 4) = -4(4 + x)

Reorder the terms:
(-3 + X)(x + 4) = -4(4 + x)

Reorder the terms:
(-3 + X)(4 + x) = -4(4 + x)

Multiply (-3 + X) * (4 + x)
(-3(4 + x) + X(4 + x)) = -4(4 + x)
((4 * -3 + x * -3) + X(4 + x)) = -4(4 + x)
((-12 + -3x) + X(4 + x)) = -4(4 + x)
(-12 + -3x + (4 * X + x * X)) = -4(4 + x)
(-12 + -3x + (4X + xX)) = -4(4 + x)

Reorder the terms:
(-12 + 4X + -3x + xX) = -4(4 + x)
(-12 + 4X + -3x + xX) = -4(4 + x)
-12 + 4X + -3x + xX = (4 * -4 + x * -4)
-12 + 4X + -3x + xX = (-16 + -4x)

Solving
-12 + 4X + -3x + xX = -16 + -4x

Solving for variable 'X'.

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

Add '12' to each side of the equation.
-12 + 4X + -3x + 12 + xX = -16 + 12 + -4x

Reorder the terms:
-12 + 12 + 4X + -3x + xX = -16 + 12 + -4x

Combine like terms: -12 + 12 = 0
0 + 4X + -3x + xX = -16 + 12 + -4x
4X + -3x + xX = -16 + 12 + -4x

Combine like terms: -16 + 12 = -4
4X + -3x + xX = -4 + -4x

Add '3x' to each side of the equation.
4X + -3x + 3x + xX = -4 + -4x + 3x

Combine like terms: -3x + 3x = 0
4X + 0 + xX = -4 + -4x + 3x
4X + xX = -4 + -4x + 3x

Combine like terms: -4x + 3x = -1x
4X + xX = -4 + -1x

Reorder the terms:
4 + 4X + x + xX = -4 + -1x + 4 + x

Reorder the terms:
4 + 4X + x + xX = -4 + 4 + -1x + x

Combine like terms: -4 + 4 = 0
4 + 4X + x + xX = 0 + -1x + x
4 + 4X + x + xX = -1x + x

Combine like terms: -1x + x = 0
4 + 4X + x + xX = 0

The solution to this equation could not be determined.

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