(X-5)(x-5)=(3x+2)(3x+2)

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Solution for (X-5)(x-5)=(3x+2)(3x+2) equation: 


Simplifying
(X + -5)(x + -5) = (3x + 2)(3x + 2)

Reorder the terms:
(-5 + X)(x + -5) = (3x + 2)(3x + 2)

Reorder the terms:
(-5 + X)(-5 + x) = (3x + 2)(3x + 2)

Multiply (-5 + X) * (-5 + x)
(-5(-5 + x) + X(-5 + x)) = (3x + 2)(3x + 2)
((-5 * -5 + x * -5) + X(-5 + x)) = (3x + 2)(3x + 2)
((25 + -5x) + X(-5 + x)) = (3x + 2)(3x + 2)
(25 + -5x + (-5 * X + x * X)) = (3x + 2)(3x + 2)
(25 + -5x + (-5X + xX)) = (3x + 2)(3x + 2)

Reorder the terms:
(25 + -5X + -5x + xX) = (3x + 2)(3x + 2)
(25 + -5X + -5x + xX) = (3x + 2)(3x + 2)

Reorder the terms:
25 + -5X + -5x + xX = (2 + 3x)(3x + 2)

Reorder the terms:
25 + -5X + -5x + xX = (2 + 3x)(2 + 3x)

Multiply (2 + 3x) * (2 + 3x)
25 + -5X + -5x + xX = (2(2 + 3x) + 3x * (2 + 3x))
25 + -5X + -5x + xX = ((2 * 2 + 3x * 2) + 3x * (2 + 3x))
25 + -5X + -5x + xX = ((4 + 6x) + 3x * (2 + 3x))
25 + -5X + -5x + xX = (4 + 6x + (2 * 3x + 3x * 3x))
25 + -5X + -5x + xX = (4 + 6x + (6x + 9x2))

Combine like terms: 6x + 6x = 12x
25 + -5X + -5x + xX = (4 + 12x + 9x2)

Solving
25 + -5X + -5x + xX = 4 + 12x + 9x2

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 = 4 + 12x + -25 + 9x2

Reorder the terms:
25 + -25 + -5X + -5x + xX = 4 + 12x + -25 + 9x2

Combine like terms: 25 + -25 = 0
0 + -5X + -5x + xX = 4 + 12x + -25 + 9x2
-5X + -5x + xX = 4 + 12x + -25 + 9x2

Reorder the terms:
-5X + -5x + xX = 4 + -25 + 12x + 9x2

Combine like terms: 4 + -25 = -21
-5X + -5x + xX = -21 + 12x + 9x2

Add '5x' to each side of the equation.
-5X + -5x + 5x + xX = -21 + 12x + 5x + 9x2

Combine like terms: -5x + 5x = 0
-5X + 0 + xX = -21 + 12x + 5x + 9x2
-5X + xX = -21 + 12x + 5x + 9x2

Combine like terms: 12x + 5x = 17x
-5X + xX = -21 + 17x + 9x2

Reorder the terms:
21 + -5X + -17x + xX + -9x2 = -21 + 17x + 9x2 + 21 + -17x + -9x2

Reorder the terms:
21 + -5X + -17x + xX + -9x2 = -21 + 21 + 17x + -17x + 9x2 + -9x2

Combine like terms: -21 + 21 = 0
21 + -5X + -17x + xX + -9x2 = 0 + 17x + -17x + 9x2 + -9x2
21 + -5X + -17x + xX + -9x2 = 17x + -17x + 9x2 + -9x2

Combine like terms: 17x + -17x = 0
21 + -5X + -17x + xX + -9x2 = 0 + 9x2 + -9x2
21 + -5X + -17x + xX + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
21 + -5X + -17x + xX + -9x2 = 0

The solution to this equation could not be determined.

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