(X+9)(x-3)=(x-1)(x+1)

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Solution for (X+9)(x-3)=(x-1)(x+1) equation: 


Simplifying
(X + 9)(x + -3) = (x + -1)(x + 1)

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

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

Multiply (9 + X) * (-3 + x)
(9(-3 + x) + X(-3 + x)) = (x + -1)(x + 1)
((-3 * 9 + x * 9) + X(-3 + x)) = (x + -1)(x + 1)
((-27 + 9x) + X(-3 + x)) = (x + -1)(x + 1)
(-27 + 9x + (-3 * X + x * X)) = (x + -1)(x + 1)
(-27 + 9x + (-3X + xX)) = (x + -1)(x + 1)

Reorder the terms:
(-27 + -3X + 9x + xX) = (x + -1)(x + 1)
(-27 + -3X + 9x + xX) = (x + -1)(x + 1)

Reorder the terms:
-27 + -3X + 9x + xX = (-1 + x)(x + 1)

Reorder the terms:
-27 + -3X + 9x + xX = (-1 + x)(1 + x)

Multiply (-1 + x) * (1 + x)
-27 + -3X + 9x + xX = (-1(1 + x) + x(1 + x))
-27 + -3X + 9x + xX = ((1 * -1 + x * -1) + x(1 + x))
-27 + -3X + 9x + xX = ((-1 + -1x) + x(1 + x))
-27 + -3X + 9x + xX = (-1 + -1x + (1 * x + x * x))
-27 + -3X + 9x + xX = (-1 + -1x + (1x + x2))

Combine like terms: -1x + 1x = 0
-27 + -3X + 9x + xX = (-1 + 0 + x2)
-27 + -3X + 9x + xX = (-1 + x2)

Solving
-27 + -3X + 9x + xX = -1 + x2

Solving for variable 'X'.

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

Add '27' to each side of the equation.
-27 + -3X + 9x + 27 + xX = -1 + 27 + x2

Reorder the terms:
-27 + 27 + -3X + 9x + xX = -1 + 27 + x2

Combine like terms: -27 + 27 = 0
0 + -3X + 9x + xX = -1 + 27 + x2
-3X + 9x + xX = -1 + 27 + x2

Combine like terms: -1 + 27 = 26
-3X + 9x + xX = 26 + x2

Add '-9x' to each side of the equation.
-3X + 9x + -9x + xX = 26 + -9x + x2

Combine like terms: 9x + -9x = 0
-3X + 0 + xX = 26 + -9x + x2
-3X + xX = 26 + -9x + x2

Reorder the terms:
-26 + -3X + 9x + xX + -1x2 = 26 + -9x + x2 + -26 + 9x + -1x2

Reorder the terms:
-26 + -3X + 9x + xX + -1x2 = 26 + -26 + -9x + 9x + x2 + -1x2

Combine like terms: 26 + -26 = 0
-26 + -3X + 9x + xX + -1x2 = 0 + -9x + 9x + x2 + -1x2
-26 + -3X + 9x + xX + -1x2 = -9x + 9x + x2 + -1x2

Combine like terms: -9x + 9x = 0
-26 + -3X + 9x + xX + -1x2 = 0 + x2 + -1x2
-26 + -3X + 9x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-26 + -3X + 9x + xX + -1x2 = 0

The solution to this equation could not be determined.

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