(X-6)(x-2)-5=0

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Solution for (X-6)(x-2)-5=0 equation:


Simplifying
(X + -6)(x + -2) + -5 = 0

Reorder the terms:
(-6 + X)(x + -2) + -5 = 0

Reorder the terms:
(-6 + X)(-2 + x) + -5 = 0

Multiply (-6 + X) * (-2 + x)
(-6(-2 + x) + X(-2 + x)) + -5 = 0
((-2 * -6 + x * -6) + X(-2 + x)) + -5 = 0
((12 + -6x) + X(-2 + x)) + -5 = 0
(12 + -6x + (-2 * X + x * X)) + -5 = 0
(12 + -6x + (-2X + xX)) + -5 = 0

Reorder the terms:
(12 + -2X + -6x + xX) + -5 = 0
(12 + -2X + -6x + xX) + -5 = 0

Reorder the terms:
12 + -5 + -2X + -6x + xX = 0

Combine like terms: 12 + -5 = 7
7 + -2X + -6x + xX = 0

Solving
7 + -2X + -6x + xX = 0

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 + -2X + -6x + -7 + xX = 0 + -7

Reorder the terms:
7 + -7 + -2X + -6x + xX = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2X + -6x + xX = 0 + -7
-2X + -6x + xX = 0 + -7

Combine like terms: 0 + -7 = -7
-2X + -6x + xX = -7

Add '6x' to each side of the equation.
-2X + -6x + 6x + xX = -7 + 6x

Combine like terms: -6x + 6x = 0
-2X + 0 + xX = -7 + 6x
-2X + xX = -7 + 6x

Reorder the terms:
7 + -2X + -6x + xX = -7 + 6x + 7 + -6x

Reorder the terms:
7 + -2X + -6x + xX = -7 + 7 + 6x + -6x

Combine like terms: -7 + 7 = 0
7 + -2X + -6x + xX = 0 + 6x + -6x
7 + -2X + -6x + xX = 6x + -6x

Combine like terms: 6x + -6x = 0
7 + -2X + -6x + xX = 0

The solution to this equation could not be determined.

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