(X+1)(x+5)=(2x+3)(x-5)

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Solution for (X+1)(x+5)=(2x+3)(x-5) equation: 


Simplifying
(X + 1)(x + 5) = (2x + 3)(x + -5)

Reorder the terms:
(1 + X)(x + 5) = (2x + 3)(x + -5)

Reorder the terms:
(1 + X)(5 + x) = (2x + 3)(x + -5)

Multiply (1 + X) * (5 + x)
(1(5 + x) + X(5 + x)) = (2x + 3)(x + -5)
((5 * 1 + x * 1) + X(5 + x)) = (2x + 3)(x + -5)
((5 + 1x) + X(5 + x)) = (2x + 3)(x + -5)
(5 + 1x + (5 * X + x * X)) = (2x + 3)(x + -5)
(5 + 1x + (5X + xX)) = (2x + 3)(x + -5)

Reorder the terms:
(5 + 5X + 1x + xX) = (2x + 3)(x + -5)
(5 + 5X + 1x + xX) = (2x + 3)(x + -5)

Reorder the terms:
5 + 5X + 1x + xX = (3 + 2x)(x + -5)

Reorder the terms:
5 + 5X + 1x + xX = (3 + 2x)(-5 + x)

Multiply (3 + 2x) * (-5 + x)
5 + 5X + 1x + xX = (3(-5 + x) + 2x * (-5 + x))
5 + 5X + 1x + xX = ((-5 * 3 + x * 3) + 2x * (-5 + x))
5 + 5X + 1x + xX = ((-15 + 3x) + 2x * (-5 + x))
5 + 5X + 1x + xX = (-15 + 3x + (-5 * 2x + x * 2x))
5 + 5X + 1x + xX = (-15 + 3x + (-10x + 2x2))

Combine like terms: 3x + -10x = -7x
5 + 5X + 1x + xX = (-15 + -7x + 2x2)

Solving
5 + 5X + 1x + xX = -15 + -7x + 2x2

Solving for variable 'X'.

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

Add '-5' to each side of the equation.
5 + 5X + 1x + -5 + xX = -15 + -7x + -5 + 2x2

Reorder the terms:
5 + -5 + 5X + 1x + xX = -15 + -7x + -5 + 2x2

Combine like terms: 5 + -5 = 0
0 + 5X + 1x + xX = -15 + -7x + -5 + 2x2
5X + 1x + xX = -15 + -7x + -5 + 2x2

Reorder the terms:
5X + 1x + xX = -15 + -5 + -7x + 2x2

Combine like terms: -15 + -5 = -20
5X + 1x + xX = -20 + -7x + 2x2

Add '-1x' to each side of the equation.
5X + 1x + -1x + xX = -20 + -7x + -1x + 2x2

Combine like terms: 1x + -1x = 0
5X + 0 + xX = -20 + -7x + -1x + 2x2
5X + xX = -20 + -7x + -1x + 2x2

Combine like terms: -7x + -1x = -8x
5X + xX = -20 + -8x + 2x2

Reorder the terms:
20 + 5X + 8x + xX + -2x2 = -20 + -8x + 2x2 + 20 + 8x + -2x2

Reorder the terms:
20 + 5X + 8x + xX + -2x2 = -20 + 20 + -8x + 8x + 2x2 + -2x2

Combine like terms: -20 + 20 = 0
20 + 5X + 8x + xX + -2x2 = 0 + -8x + 8x + 2x2 + -2x2
20 + 5X + 8x + xX + -2x2 = -8x + 8x + 2x2 + -2x2

Combine like terms: -8x + 8x = 0
20 + 5X + 8x + xX + -2x2 = 0 + 2x2 + -2x2
20 + 5X + 8x + xX + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
20 + 5X + 8x + xX + -2x2 = 0

The solution to this equation could not be determined.

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