(X-5)(x-5)-24=0

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Solution for (X-5)(x-5)-24=0 equation:


Simplifying
(X + -5)(x + -5) + -24 = 0

Reorder the terms:
(-5 + X)(x + -5) + -24 = 0

Reorder the terms:
(-5 + X)(-5 + x) + -24 = 0

Multiply (-5 + X) * (-5 + x)
(-5(-5 + x) + X(-5 + x)) + -24 = 0
((-5 * -5 + x * -5) + X(-5 + x)) + -24 = 0
((25 + -5x) + X(-5 + x)) + -24 = 0
(25 + -5x + (-5 * X + x * X)) + -24 = 0
(25 + -5x + (-5X + xX)) + -24 = 0

Reorder the terms:
(25 + -5X + -5x + xX) + -24 = 0
(25 + -5X + -5x + xX) + -24 = 0

Reorder the terms:
25 + -24 + -5X + -5x + xX = 0

Combine like terms: 25 + -24 = 1
1 + -5X + -5x + xX = 0

Solving
1 + -5X + -5x + xX = 0

Solving for variable 'X'.

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

Add '-1' to each side of the equation.
1 + -5X + -5x + -1 + xX = 0 + -1

Reorder the terms:
1 + -1 + -5X + -5x + xX = 0 + -1

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

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

Add '5x' to each side of the equation.
-5X + -5x + 5x + xX = -1 + 5x

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

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

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

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

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

The solution to this equation could not be determined.

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