(X+5)(4x-4)=(x+1)(x+1)

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Solution for (X+5)(4x-4)=(x+1)(x+1) equation: 


Simplifying
(X + 5)(4x + -4) = (x + 1)(x + 1)

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

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

Multiply (5 + X) * (-4 + 4x)
(5(-4 + 4x) + X(-4 + 4x)) = (x + 1)(x + 1)
((-4 * 5 + 4x * 5) + X(-4 + 4x)) = (x + 1)(x + 1)
((-20 + 20x) + X(-4 + 4x)) = (x + 1)(x + 1)
(-20 + 20x + (-4 * X + 4x * X)) = (x + 1)(x + 1)
(-20 + 20x + (-4X + 4xX)) = (x + 1)(x + 1)

Reorder the terms:
(-20 + -4X + 20x + 4xX) = (x + 1)(x + 1)
(-20 + -4X + 20x + 4xX) = (x + 1)(x + 1)

Reorder the terms:
-20 + -4X + 20x + 4xX = (1 + x)(x + 1)

Reorder the terms:
-20 + -4X + 20x + 4xX = (1 + x)(1 + x)

Multiply (1 + x) * (1 + x)
-20 + -4X + 20x + 4xX = (1(1 + x) + x(1 + x))
-20 + -4X + 20x + 4xX = ((1 * 1 + x * 1) + x(1 + x))
-20 + -4X + 20x + 4xX = ((1 + 1x) + x(1 + x))
-20 + -4X + 20x + 4xX = (1 + 1x + (1 * x + x * x))
-20 + -4X + 20x + 4xX = (1 + 1x + (1x + x2))

Combine like terms: 1x + 1x = 2x
-20 + -4X + 20x + 4xX = (1 + 2x + x2)

Solving
-20 + -4X + 20x + 4xX = 1 + 2x + x2

Solving for variable 'X'.

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

Add '20' to each side of the equation.
-20 + -4X + 20x + 20 + 4xX = 1 + 2x + 20 + x2

Reorder the terms:
-20 + 20 + -4X + 20x + 4xX = 1 + 2x + 20 + x2

Combine like terms: -20 + 20 = 0
0 + -4X + 20x + 4xX = 1 + 2x + 20 + x2
-4X + 20x + 4xX = 1 + 2x + 20 + x2

Reorder the terms:
-4X + 20x + 4xX = 1 + 20 + 2x + x2

Combine like terms: 1 + 20 = 21
-4X + 20x + 4xX = 21 + 2x + x2

Add '-20x' to each side of the equation.
-4X + 20x + -20x + 4xX = 21 + 2x + -20x + x2

Combine like terms: 20x + -20x = 0
-4X + 0 + 4xX = 21 + 2x + -20x + x2
-4X + 4xX = 21 + 2x + -20x + x2

Combine like terms: 2x + -20x = -18x
-4X + 4xX = 21 + -18x + x2

Reorder the terms:
-21 + -4X + 18x + 4xX + -1x2 = 21 + -18x + x2 + -21 + 18x + -1x2

Reorder the terms:
-21 + -4X + 18x + 4xX + -1x2 = 21 + -21 + -18x + 18x + x2 + -1x2

Combine like terms: 21 + -21 = 0
-21 + -4X + 18x + 4xX + -1x2 = 0 + -18x + 18x + x2 + -1x2
-21 + -4X + 18x + 4xX + -1x2 = -18x + 18x + x2 + -1x2

Combine like terms: -18x + 18x = 0
-21 + -4X + 18x + 4xX + -1x2 = 0 + x2 + -1x2
-21 + -4X + 18x + 4xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-21 + -4X + 18x + 4xX + -1x2 = 0

The solution to this equation could not be determined.

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