(x-7)(X+3)+(X-1)(X+5)=102

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Solution for (x-7)(X+3)+(X-1)(X+5)=102 equation: 


Simplifying
(x + -7)(X + 3) + (X + -1)(X + 5) = 102

Reorder the terms:
(-7 + x)(X + 3) + (X + -1)(X + 5) = 102

Reorder the terms:
(-7 + x)(3 + X) + (X + -1)(X + 5) = 102

Multiply (-7 + x) * (3 + X)
(-7(3 + X) + x(3 + X)) + (X + -1)(X + 5) = 102
((3 * -7 + X * -7) + x(3 + X)) + (X + -1)(X + 5) = 102
((-21 + -7X) + x(3 + X)) + (X + -1)(X + 5) = 102
(-21 + -7X + (3 * x + X * x)) + (X + -1)(X + 5) = 102
(-21 + -7X + (3x + xX)) + (X + -1)(X + 5) = 102
(-21 + -7X + 3x + xX) + (X + -1)(X + 5) = 102

Reorder the terms:
-21 + -7X + 3x + xX + (-1 + X)(X + 5) = 102

Reorder the terms:
-21 + -7X + 3x + xX + (-1 + X)(5 + X) = 102

Multiply (-1 + X) * (5 + X)
-21 + -7X + 3x + xX + (-1(5 + X) + X(5 + X)) = 102
-21 + -7X + 3x + xX + ((5 * -1 + X * -1) + X(5 + X)) = 102
-21 + -7X + 3x + xX + ((-5 + -1X) + X(5 + X)) = 102
-21 + -7X + 3x + xX + (-5 + -1X + (5 * X + X * X)) = 102
-21 + -7X + 3x + xX + (-5 + -1X + (5X + X2)) = 102

Combine like terms: -1X + 5X = 4X
-21 + -7X + 3x + xX + (-5 + 4X + X2) = 102

Reorder the terms:
-21 + -5 + -7X + 4X + X2 + 3x + xX = 102

Combine like terms: -21 + -5 = -26
-26 + -7X + 4X + X2 + 3x + xX = 102

Combine like terms: -7X + 4X = -3X
-26 + -3X + X2 + 3x + xX = 102

Solving
-26 + -3X + X2 + 3x + xX = 102

Solving for variable 'X'.

Reorder the terms:
-26 + -102 + -3X + X2 + 3x + xX = 102 + -102

Combine like terms: -26 + -102 = -128
-128 + -3X + X2 + 3x + xX = 102 + -102

Combine like terms: 102 + -102 = 0
-128 + -3X + X2 + 3x + xX = 0

The solution to this equation could not be determined.

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