(X+3)(x-4)=(x+5)(x+3)

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Solution for (X+3)(x-4)=(x+5)(x+3) equation: 


Simplifying
(X + 3)(x + -4) = (x + 5)(x + 3)

Reorder the terms:
(3 + X)(x + -4) = (x + 5)(x + 3)

Reorder the terms:
(3 + X)(-4 + x) = (x + 5)(x + 3)

Multiply (3 + X) * (-4 + x)
(3(-4 + x) + X(-4 + x)) = (x + 5)(x + 3)
((-4 * 3 + x * 3) + X(-4 + x)) = (x + 5)(x + 3)
((-12 + 3x) + X(-4 + x)) = (x + 5)(x + 3)
(-12 + 3x + (-4 * X + x * X)) = (x + 5)(x + 3)
(-12 + 3x + (-4X + xX)) = (x + 5)(x + 3)

Reorder the terms:
(-12 + -4X + 3x + xX) = (x + 5)(x + 3)
(-12 + -4X + 3x + xX) = (x + 5)(x + 3)

Reorder the terms:
-12 + -4X + 3x + xX = (5 + x)(x + 3)

Reorder the terms:
-12 + -4X + 3x + xX = (5 + x)(3 + x)

Multiply (5 + x) * (3 + x)
-12 + -4X + 3x + xX = (5(3 + x) + x(3 + x))
-12 + -4X + 3x + xX = ((3 * 5 + x * 5) + x(3 + x))
-12 + -4X + 3x + xX = ((15 + 5x) + x(3 + x))
-12 + -4X + 3x + xX = (15 + 5x + (3 * x + x * x))
-12 + -4X + 3x + xX = (15 + 5x + (3x + x2))

Combine like terms: 5x + 3x = 8x
-12 + -4X + 3x + xX = (15 + 8x + x2)

Solving
-12 + -4X + 3x + xX = 15 + 8x + 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 = 15 + 8x + 12 + x2

Reorder the terms:
-12 + 12 + -4X + 3x + xX = 15 + 8x + 12 + x2

Combine like terms: -12 + 12 = 0
0 + -4X + 3x + xX = 15 + 8x + 12 + x2
-4X + 3x + xX = 15 + 8x + 12 + x2

Reorder the terms:
-4X + 3x + xX = 15 + 12 + 8x + x2

Combine like terms: 15 + 12 = 27
-4X + 3x + xX = 27 + 8x + x2

Add '-3x' to each side of the equation.
-4X + 3x + -3x + xX = 27 + 8x + -3x + x2

Combine like terms: 3x + -3x = 0
-4X + 0 + xX = 27 + 8x + -3x + x2
-4X + xX = 27 + 8x + -3x + x2

Combine like terms: 8x + -3x = 5x
-4X + xX = 27 + 5x + x2

Reorder the terms:
-27 + -4X + -5x + xX + -1x2 = 27 + 5x + x2 + -27 + -5x + -1x2

Reorder the terms:
-27 + -4X + -5x + xX + -1x2 = 27 + -27 + 5x + -5x + x2 + -1x2

Combine like terms: 27 + -27 = 0
-27 + -4X + -5x + xX + -1x2 = 0 + 5x + -5x + x2 + -1x2
-27 + -4X + -5x + xX + -1x2 = 5x + -5x + x2 + -1x2

Combine like terms: 5x + -5x = 0
-27 + -4X + -5x + xX + -1x2 = 0 + x2 + -1x2
-27 + -4X + -5x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-27 + -4X + -5x + xX + -1x2 = 0

The solution to this equation could not be determined.

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