(X-6)(2x-3)=(x+2)(x+9)

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Solution for (X-6)(2x-3)=(x+2)(x+9) equation: 


Simplifying
(X + -6)(2x + -3) = (x + 2)(x + 9)

Reorder the terms:
(-6 + X)(2x + -3) = (x + 2)(x + 9)

Reorder the terms:
(-6 + X)(-3 + 2x) = (x + 2)(x + 9)

Multiply (-6 + X) * (-3 + 2x)
(-6(-3 + 2x) + X(-3 + 2x)) = (x + 2)(x + 9)
((-3 * -6 + 2x * -6) + X(-3 + 2x)) = (x + 2)(x + 9)
((18 + -12x) + X(-3 + 2x)) = (x + 2)(x + 9)
(18 + -12x + (-3 * X + 2x * X)) = (x + 2)(x + 9)
(18 + -12x + (-3X + 2xX)) = (x + 2)(x + 9)

Reorder the terms:
(18 + -3X + -12x + 2xX) = (x + 2)(x + 9)
(18 + -3X + -12x + 2xX) = (x + 2)(x + 9)

Reorder the terms:
18 + -3X + -12x + 2xX = (2 + x)(x + 9)

Reorder the terms:
18 + -3X + -12x + 2xX = (2 + x)(9 + x)

Multiply (2 + x) * (9 + x)
18 + -3X + -12x + 2xX = (2(9 + x) + x(9 + x))
18 + -3X + -12x + 2xX = ((9 * 2 + x * 2) + x(9 + x))
18 + -3X + -12x + 2xX = ((18 + 2x) + x(9 + x))
18 + -3X + -12x + 2xX = (18 + 2x + (9 * x + x * x))
18 + -3X + -12x + 2xX = (18 + 2x + (9x + x2))

Combine like terms: 2x + 9x = 11x
18 + -3X + -12x + 2xX = (18 + 11x + x2)

Add '-18' to each side of the equation.
18 + -3X + -12x + -18 + 2xX = 18 + 11x + -18 + x2

Reorder the terms:
18 + -18 + -3X + -12x + 2xX = 18 + 11x + -18 + x2

Combine like terms: 18 + -18 = 0
0 + -3X + -12x + 2xX = 18 + 11x + -18 + x2
-3X + -12x + 2xX = 18 + 11x + -18 + x2

Reorder the terms:
-3X + -12x + 2xX = 18 + -18 + 11x + x2

Combine like terms: 18 + -18 = 0
-3X + -12x + 2xX = 0 + 11x + x2
-3X + -12x + 2xX = 11x + x2

Solving
-3X + -12x + 2xX = 11x + x2

Solving for variable 'X'.

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

Add '12x' to each side of the equation.
-3X + -12x + 12x + 2xX = 11x + 12x + x2

Combine like terms: -12x + 12x = 0
-3X + 0 + 2xX = 11x + 12x + x2
-3X + 2xX = 11x + 12x + x2

Combine like terms: 11x + 12x = 23x
-3X + 2xX = 23x + x2

Reorder the terms:
-3X + -23x + 2xX + -1x2 = 23x + x2 + -23x + -1x2

Reorder the terms:
-3X + -23x + 2xX + -1x2 = 23x + -23x + x2 + -1x2

Combine like terms: 23x + -23x = 0
-3X + -23x + 2xX + -1x2 = 0 + x2 + -1x2
-3X + -23x + 2xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3X + -23x + 2xX + -1x2 = 0

The solution to this equation could not be determined.

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