(X-3)(x-5)=24

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Solution for (X-3)(x-5)=24 equation:


Simplifying
(X + -3)(x + -5) = 24

Reorder the terms:
(-3 + X)(x + -5) = 24

Reorder the terms:
(-3 + X)(-5 + x) = 24

Multiply (-3 + X) * (-5 + x)
(-3(-5 + x) + X(-5 + x)) = 24
((-5 * -3 + x * -3) + X(-5 + x)) = 24
((15 + -3x) + X(-5 + x)) = 24
(15 + -3x + (-5 * X + x * X)) = 24
(15 + -3x + (-5X + xX)) = 24

Reorder the terms:
(15 + -5X + -3x + xX) = 24
(15 + -5X + -3x + xX) = 24

Solving
15 + -5X + -3x + xX = 24

Solving for variable 'X'.

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

Add '-15' to each side of the equation.
15 + -5X + -3x + -15 + xX = 24 + -15

Reorder the terms:
15 + -15 + -5X + -3x + xX = 24 + -15

Combine like terms: 15 + -15 = 0
0 + -5X + -3x + xX = 24 + -15
-5X + -3x + xX = 24 + -15

Combine like terms: 24 + -15 = 9
-5X + -3x + xX = 9

Add '3x' to each side of the equation.
-5X + -3x + 3x + xX = 9 + 3x

Combine like terms: -3x + 3x = 0
-5X + 0 + xX = 9 + 3x
-5X + xX = 9 + 3x

Reorder the terms:
-9 + -5X + -3x + xX = 9 + 3x + -9 + -3x

Reorder the terms:
-9 + -5X + -3x + xX = 9 + -9 + 3x + -3x

Combine like terms: 9 + -9 = 0
-9 + -5X + -3x + xX = 0 + 3x + -3x
-9 + -5X + -3x + xX = 3x + -3x

Combine like terms: 3x + -3x = 0
-9 + -5X + -3x + xX = 0

The solution to this equation could not be determined.

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