(X-1)(x+7)=(x-1)(x-3)

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Solution for (X-1)(x+7)=(x-1)(x-3) equation: 


Simplifying
(X + -1)(x + 7) = (x + -1)(x + -3)

Reorder the terms:
(-1 + X)(x + 7) = (x + -1)(x + -3)

Reorder the terms:
(-1 + X)(7 + x) = (x + -1)(x + -3)

Multiply (-1 + X) * (7 + x)
(-1(7 + x) + X(7 + x)) = (x + -1)(x + -3)
((7 * -1 + x * -1) + X(7 + x)) = (x + -1)(x + -3)
((-7 + -1x) + X(7 + x)) = (x + -1)(x + -3)
(-7 + -1x + (7 * X + x * X)) = (x + -1)(x + -3)
(-7 + -1x + (7X + xX)) = (x + -1)(x + -3)

Reorder the terms:
(-7 + 7X + -1x + xX) = (x + -1)(x + -3)
(-7 + 7X + -1x + xX) = (x + -1)(x + -3)

Reorder the terms:
-7 + 7X + -1x + xX = (-1 + x)(x + -3)

Reorder the terms:
-7 + 7X + -1x + xX = (-1 + x)(-3 + x)

Multiply (-1 + x) * (-3 + x)
-7 + 7X + -1x + xX = (-1(-3 + x) + x(-3 + x))
-7 + 7X + -1x + xX = ((-3 * -1 + x * -1) + x(-3 + x))
-7 + 7X + -1x + xX = ((3 + -1x) + x(-3 + x))
-7 + 7X + -1x + xX = (3 + -1x + (-3 * x + x * x))
-7 + 7X + -1x + xX = (3 + -1x + (-3x + x2))

Combine like terms: -1x + -3x = -4x
-7 + 7X + -1x + xX = (3 + -4x + x2)

Solving
-7 + 7X + -1x + xX = 3 + -4x + x2

Solving for variable 'X'.

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

Add '7' to each side of the equation.
-7 + 7X + -1x + 7 + xX = 3 + -4x + 7 + x2

Reorder the terms:
-7 + 7 + 7X + -1x + xX = 3 + -4x + 7 + x2

Combine like terms: -7 + 7 = 0
0 + 7X + -1x + xX = 3 + -4x + 7 + x2
7X + -1x + xX = 3 + -4x + 7 + x2

Reorder the terms:
7X + -1x + xX = 3 + 7 + -4x + x2

Combine like terms: 3 + 7 = 10
7X + -1x + xX = 10 + -4x + x2

Add 'x' to each side of the equation.
7X + -1x + x + xX = 10 + -4x + x + x2

Combine like terms: -1x + x = 0
7X + 0 + xX = 10 + -4x + x + x2
7X + xX = 10 + -4x + x + x2

Combine like terms: -4x + x = -3x
7X + xX = 10 + -3x + x2

Reorder the terms:
-10 + 7X + 3x + xX + -1x2 = 10 + -3x + x2 + -10 + 3x + -1x2

Reorder the terms:
-10 + 7X + 3x + xX + -1x2 = 10 + -10 + -3x + 3x + x2 + -1x2

Combine like terms: 10 + -10 = 0
-10 + 7X + 3x + xX + -1x2 = 0 + -3x + 3x + x2 + -1x2
-10 + 7X + 3x + xX + -1x2 = -3x + 3x + x2 + -1x2

Combine like terms: -3x + 3x = 0
-10 + 7X + 3x + xX + -1x2 = 0 + x2 + -1x2
-10 + 7X + 3x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-10 + 7X + 3x + xX + -1x2 = 0

The solution to this equation could not be determined.

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