(X-7)(x-2)=6

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Solution for (X-7)(x-2)=6 equation:


Simplifying
(X + -7)(x + -2) = 6

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

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

Multiply (-7 + X) * (-2 + x)
(-7(-2 + x) + X(-2 + x)) = 6
((-2 * -7 + x * -7) + X(-2 + x)) = 6
((14 + -7x) + X(-2 + x)) = 6
(14 + -7x + (-2 * X + x * X)) = 6
(14 + -7x + (-2X + xX)) = 6

Reorder the terms:
(14 + -2X + -7x + xX) = 6
(14 + -2X + -7x + xX) = 6

Solving
14 + -2X + -7x + xX = 6

Solving for variable 'X'.

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

Add '-14' to each side of the equation.
14 + -2X + -7x + -14 + xX = 6 + -14

Reorder the terms:
14 + -14 + -2X + -7x + xX = 6 + -14

Combine like terms: 14 + -14 = 0
0 + -2X + -7x + xX = 6 + -14
-2X + -7x + xX = 6 + -14

Combine like terms: 6 + -14 = -8
-2X + -7x + xX = -8

Add '7x' to each side of the equation.
-2X + -7x + 7x + xX = -8 + 7x

Combine like terms: -7x + 7x = 0
-2X + 0 + xX = -8 + 7x
-2X + xX = -8 + 7x

Reorder the terms:
8 + -2X + -7x + xX = -8 + 7x + 8 + -7x

Reorder the terms:
8 + -2X + -7x + xX = -8 + 8 + 7x + -7x

Combine like terms: -8 + 8 = 0
8 + -2X + -7x + xX = 0 + 7x + -7x
8 + -2X + -7x + xX = 7x + -7x

Combine like terms: 7x + -7x = 0
8 + -2X + -7x + xX = 0

The solution to this equation could not be determined.

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