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

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


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

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

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

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

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

Solving
25 + -5X + -5x + xX = 24x

Solving for variable 'X'.

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

Add '-25' to each side of the equation.
25 + -5X + -5x + -25 + xX = -25 + 24x

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

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

Add '5x' to each side of the equation.
-5X + -5x + 5x + xX = -25 + 24x + 5x

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

Combine like terms: 24x + 5x = 29x
-5X + xX = -25 + 29x

Reorder the terms:
25 + -5X + -29x + xX = -25 + 29x + 25 + -29x

Reorder the terms:
25 + -5X + -29x + xX = -25 + 25 + 29x + -29x

Combine like terms: -25 + 25 = 0
25 + -5X + -29x + xX = 0 + 29x + -29x
25 + -5X + -29x + xX = 29x + -29x

Combine like terms: 29x + -29x = 0
25 + -5X + -29x + xX = 0

The solution to this equation could not be determined.

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