(X-3)(x-2)=30

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Solution for (X-3)(x-2)=30 equation:


Simplifying
(X + -3)(x + -2) = 30

Reorder the terms:
(-3 + X)(x + -2) = 30

Reorder the terms:
(-3 + X)(-2 + x) = 30

Multiply (-3 + X) * (-2 + x)
(-3(-2 + x) + X(-2 + x)) = 30
((-2 * -3 + x * -3) + X(-2 + x)) = 30
((6 + -3x) + X(-2 + x)) = 30
(6 + -3x + (-2 * X + x * X)) = 30
(6 + -3x + (-2X + xX)) = 30

Reorder the terms:
(6 + -2X + -3x + xX) = 30
(6 + -2X + -3x + xX) = 30

Solving
6 + -2X + -3x + xX = 30

Solving for variable 'X'.

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

Add '-6' to each side of the equation.
6 + -2X + -3x + -6 + xX = 30 + -6

Reorder the terms:
6 + -6 + -2X + -3x + xX = 30 + -6

Combine like terms: 6 + -6 = 0
0 + -2X + -3x + xX = 30 + -6
-2X + -3x + xX = 30 + -6

Combine like terms: 30 + -6 = 24
-2X + -3x + xX = 24

Add '3x' to each side of the equation.
-2X + -3x + 3x + xX = 24 + 3x

Combine like terms: -3x + 3x = 0
-2X + 0 + xX = 24 + 3x
-2X + xX = 24 + 3x

Reorder the terms:
-24 + -2X + -3x + xX = 24 + 3x + -24 + -3x

Reorder the terms:
-24 + -2X + -3x + xX = 24 + -24 + 3x + -3x

Combine like terms: 24 + -24 = 0
-24 + -2X + -3x + xX = 0 + 3x + -3x
-24 + -2X + -3x + xX = 3x + -3x

Combine like terms: 3x + -3x = 0
-24 + -2X + -3x + xX = 0

The solution to this equation could not be determined.

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