(X-5)(x-2)=25

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Solution for (X-5)(x-2)=25 equation:


Simplifying
(X + -5)(x + -2) = 25

Reorder the terms:
(-5 + X)(x + -2) = 25

Reorder the terms:
(-5 + X)(-2 + x) = 25

Multiply (-5 + X) * (-2 + x)
(-5(-2 + x) + X(-2 + x)) = 25
((-2 * -5 + x * -5) + X(-2 + x)) = 25
((10 + -5x) + X(-2 + x)) = 25
(10 + -5x + (-2 * X + x * X)) = 25
(10 + -5x + (-2X + xX)) = 25

Reorder the terms:
(10 + -2X + -5x + xX) = 25
(10 + -2X + -5x + xX) = 25

Solving
10 + -2X + -5x + xX = 25

Solving for variable 'X'.

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

Add '-10' to each side of the equation.
10 + -2X + -5x + -10 + xX = 25 + -10

Reorder the terms:
10 + -10 + -2X + -5x + xX = 25 + -10

Combine like terms: 10 + -10 = 0
0 + -2X + -5x + xX = 25 + -10
-2X + -5x + xX = 25 + -10

Combine like terms: 25 + -10 = 15
-2X + -5x + xX = 15

Add '5x' to each side of the equation.
-2X + -5x + 5x + xX = 15 + 5x

Combine like terms: -5x + 5x = 0
-2X + 0 + xX = 15 + 5x
-2X + xX = 15 + 5x

Reorder the terms:
-15 + -2X + -5x + xX = 15 + 5x + -15 + -5x

Reorder the terms:
-15 + -2X + -5x + xX = 15 + -15 + 5x + -5x

Combine like terms: 15 + -15 = 0
-15 + -2X + -5x + xX = 0 + 5x + -5x
-15 + -2X + -5x + xX = 5x + -5x

Combine like terms: 5x + -5x = 0
-15 + -2X + -5x + xX = 0

The solution to this equation could not be determined.

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