(X+3)(x+4)=(x+1)(x-3)

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Solution for (X+3)(x+4)=(x+1)(x-3) equation: 


Simplifying
(X + 3)(x + 4) = (x + 1)(x + -3)

Reorder the terms:
(3 + X)(x + 4) = (x + 1)(x + -3)

Reorder the terms:
(3 + X)(4 + x) = (x + 1)(x + -3)

Multiply (3 + X) * (4 + x)
(3(4 + x) + X(4 + x)) = (x + 1)(x + -3)
((4 * 3 + x * 3) + X(4 + x)) = (x + 1)(x + -3)
((12 + 3x) + X(4 + x)) = (x + 1)(x + -3)
(12 + 3x + (4 * X + x * X)) = (x + 1)(x + -3)
(12 + 3x + (4X + xX)) = (x + 1)(x + -3)

Reorder the terms:
(12 + 4X + 3x + xX) = (x + 1)(x + -3)
(12 + 4X + 3x + xX) = (x + 1)(x + -3)

Reorder the terms:
12 + 4X + 3x + xX = (1 + x)(x + -3)

Reorder the terms:
12 + 4X + 3x + xX = (1 + x)(-3 + x)

Multiply (1 + x) * (-3 + x)
12 + 4X + 3x + xX = (1(-3 + x) + x(-3 + x))
12 + 4X + 3x + xX = ((-3 * 1 + x * 1) + x(-3 + x))
12 + 4X + 3x + xX = ((-3 + 1x) + x(-3 + x))
12 + 4X + 3x + xX = (-3 + 1x + (-3 * x + x * x))
12 + 4X + 3x + xX = (-3 + 1x + (-3x + x2))

Combine like terms: 1x + -3x = -2x
12 + 4X + 3x + xX = (-3 + -2x + x2)

Solving
12 + 4X + 3x + xX = -3 + -2x + x2

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 = -3 + -2x + -12 + x2

Reorder the terms:
12 + -12 + 4X + 3x + xX = -3 + -2x + -12 + x2

Combine like terms: 12 + -12 = 0
0 + 4X + 3x + xX = -3 + -2x + -12 + x2
4X + 3x + xX = -3 + -2x + -12 + x2

Reorder the terms:
4X + 3x + xX = -3 + -12 + -2x + x2

Combine like terms: -3 + -12 = -15
4X + 3x + xX = -15 + -2x + x2

Add '-3x' to each side of the equation.
4X + 3x + -3x + xX = -15 + -2x + -3x + x2

Combine like terms: 3x + -3x = 0
4X + 0 + xX = -15 + -2x + -3x + x2
4X + xX = -15 + -2x + -3x + x2

Combine like terms: -2x + -3x = -5x
4X + xX = -15 + -5x + x2

Reorder the terms:
15 + 4X + 5x + xX + -1x2 = -15 + -5x + x2 + 15 + 5x + -1x2

Reorder the terms:
15 + 4X + 5x + xX + -1x2 = -15 + 15 + -5x + 5x + x2 + -1x2

Combine like terms: -15 + 15 = 0
15 + 4X + 5x + xX + -1x2 = 0 + -5x + 5x + x2 + -1x2
15 + 4X + 5x + xX + -1x2 = -5x + 5x + x2 + -1x2

Combine like terms: -5x + 5x = 0
15 + 4X + 5x + xX + -1x2 = 0 + x2 + -1x2
15 + 4X + 5x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
15 + 4X + 5x + xX + -1x2 = 0

The solution to this equation could not be determined.

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