(X-4)*(x-4)+5*5=13*13

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Solution for (X-4)*(x-4)+5*5=13*13 equation: 


Simplifying
(X + -4)(x + -4) + 5 * 5 = 13 * 13

Reorder the terms:
(-4 + X)(x + -4) + 5 * 5 = 13 * 13

Reorder the terms:
(-4 + X)(-4 + x) + 5 * 5 = 13 * 13

Multiply (-4 + X) * (-4 + x)
(-4(-4 + x) + X(-4 + x)) + 5 * 5 = 13 * 13
((-4 * -4 + x * -4) + X(-4 + x)) + 5 * 5 = 13 * 13
((16 + -4x) + X(-4 + x)) + 5 * 5 = 13 * 13
(16 + -4x + (-4 * X + x * X)) + 5 * 5 = 13 * 13
(16 + -4x + (-4X + xX)) + 5 * 5 = 13 * 13

Reorder the terms:
(16 + -4X + -4x + xX) + 5 * 5 = 13 * 13
(16 + -4X + -4x + xX) + 5 * 5 = 13 * 13

Multiply 5 * 5
16 + -4X + -4x + xX + 25 = 13 * 13

Reorder the terms:
16 + 25 + -4X + -4x + xX = 13 * 13

Combine like terms: 16 + 25 = 41
41 + -4X + -4x + xX = 13 * 13

Multiply 13 * 13
41 + -4X + -4x + xX = 169

Solving
41 + -4X + -4x + xX = 169

Solving for variable 'X'.

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

Add '-41' to each side of the equation.
41 + -4X + -4x + -41 + xX = 169 + -41

Reorder the terms:
41 + -41 + -4X + -4x + xX = 169 + -41

Combine like terms: 41 + -41 = 0
0 + -4X + -4x + xX = 169 + -41
-4X + -4x + xX = 169 + -41

Combine like terms: 169 + -41 = 128
-4X + -4x + xX = 128

Add '4x' to each side of the equation.
-4X + -4x + 4x + xX = 128 + 4x

Combine like terms: -4x + 4x = 0
-4X + 0 + xX = 128 + 4x
-4X + xX = 128 + 4x

Reorder the terms:
-128 + -4X + -4x + xX = 128 + 4x + -128 + -4x

Reorder the terms:
-128 + -4X + -4x + xX = 128 + -128 + 4x + -4x

Combine like terms: 128 + -128 = 0
-128 + -4X + -4x + xX = 0 + 4x + -4x
-128 + -4X + -4x + xX = 4x + -4x

Combine like terms: 4x + -4x = 0
-128 + -4X + -4x + xX = 0

The solution to this equation could not be determined.

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