(X-6)(x+2)=(x+4)(x-5)-2

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Solution for (X-6)(x+2)=(x+4)(x-5)-2 equation: 


Simplifying
(X + -6)(x + 2) = (x + 4)(x + -5) + -2

Reorder the terms:
(-6 + X)(x + 2) = (x + 4)(x + -5) + -2

Reorder the terms:
(-6 + X)(2 + x) = (x + 4)(x + -5) + -2

Multiply (-6 + X) * (2 + x)
(-6(2 + x) + X(2 + x)) = (x + 4)(x + -5) + -2
((2 * -6 + x * -6) + X(2 + x)) = (x + 4)(x + -5) + -2
((-12 + -6x) + X(2 + x)) = (x + 4)(x + -5) + -2
(-12 + -6x + (2 * X + x * X)) = (x + 4)(x + -5) + -2
(-12 + -6x + (2X + xX)) = (x + 4)(x + -5) + -2

Reorder the terms:
(-12 + 2X + -6x + xX) = (x + 4)(x + -5) + -2
(-12 + 2X + -6x + xX) = (x + 4)(x + -5) + -2

Reorder the terms:
-12 + 2X + -6x + xX = (4 + x)(x + -5) + -2

Reorder the terms:
-12 + 2X + -6x + xX = (4 + x)(-5 + x) + -2

Multiply (4 + x) * (-5 + x)
-12 + 2X + -6x + xX = (4(-5 + x) + x(-5 + x)) + -2
-12 + 2X + -6x + xX = ((-5 * 4 + x * 4) + x(-5 + x)) + -2
-12 + 2X + -6x + xX = ((-20 + 4x) + x(-5 + x)) + -2
-12 + 2X + -6x + xX = (-20 + 4x + (-5 * x + x * x)) + -2
-12 + 2X + -6x + xX = (-20 + 4x + (-5x + x2)) + -2

Combine like terms: 4x + -5x = -1x
-12 + 2X + -6x + xX = (-20 + -1x + x2) + -2

Reorder the terms:
-12 + 2X + -6x + xX = -20 + -2 + -1x + x2

Combine like terms: -20 + -2 = -22
-12 + 2X + -6x + xX = -22 + -1x + x2

Solving
-12 + 2X + -6x + xX = -22 + -1x + x2

Solving for variable 'X'.

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

Add '12' to each side of the equation.
-12 + 2X + -6x + 12 + xX = -22 + -1x + 12 + x2

Reorder the terms:
-12 + 12 + 2X + -6x + xX = -22 + -1x + 12 + x2

Combine like terms: -12 + 12 = 0
0 + 2X + -6x + xX = -22 + -1x + 12 + x2
2X + -6x + xX = -22 + -1x + 12 + x2

Reorder the terms:
2X + -6x + xX = -22 + 12 + -1x + x2

Combine like terms: -22 + 12 = -10
2X + -6x + xX = -10 + -1x + x2

Add '6x' to each side of the equation.
2X + -6x + 6x + xX = -10 + -1x + 6x + x2

Combine like terms: -6x + 6x = 0
2X + 0 + xX = -10 + -1x + 6x + x2
2X + xX = -10 + -1x + 6x + x2

Combine like terms: -1x + 6x = 5x
2X + xX = -10 + 5x + x2

Reorder the terms:
10 + 2X + -5x + xX + -1x2 = -10 + 5x + x2 + 10 + -5x + -1x2

Reorder the terms:
10 + 2X + -5x + xX + -1x2 = -10 + 10 + 5x + -5x + x2 + -1x2

Combine like terms: -10 + 10 = 0
10 + 2X + -5x + xX + -1x2 = 0 + 5x + -5x + x2 + -1x2
10 + 2X + -5x + xX + -1x2 = 5x + -5x + x2 + -1x2

Combine like terms: 5x + -5x = 0
10 + 2X + -5x + xX + -1x2 = 0 + x2 + -1x2
10 + 2X + -5x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
10 + 2X + -5x + xX + -1x2 = 0

The solution to this equation could not be determined.

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