(X+7)(x+7)=(13-x)(13-x)

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Solution for (X+7)(x+7)=(13-x)(13-x) equation: 


Simplifying
(X + 7)(x + 7) = (13 + -1x)(13 + -1x)

Reorder the terms:
(7 + X)(x + 7) = (13 + -1x)(13 + -1x)

Reorder the terms:
(7 + X)(7 + x) = (13 + -1x)(13 + -1x)

Multiply (7 + X) * (7 + x)
(7(7 + x) + X(7 + x)) = (13 + -1x)(13 + -1x)
((7 * 7 + x * 7) + X(7 + x)) = (13 + -1x)(13 + -1x)
((49 + 7x) + X(7 + x)) = (13 + -1x)(13 + -1x)
(49 + 7x + (7 * X + x * X)) = (13 + -1x)(13 + -1x)
(49 + 7x + (7X + xX)) = (13 + -1x)(13 + -1x)

Reorder the terms:
(49 + 7X + 7x + xX) = (13 + -1x)(13 + -1x)
(49 + 7X + 7x + xX) = (13 + -1x)(13 + -1x)

Multiply (13 + -1x) * (13 + -1x)
49 + 7X + 7x + xX = (13(13 + -1x) + -1x * (13 + -1x))
49 + 7X + 7x + xX = ((13 * 13 + -1x * 13) + -1x * (13 + -1x))
49 + 7X + 7x + xX = ((169 + -13x) + -1x * (13 + -1x))
49 + 7X + 7x + xX = (169 + -13x + (13 * -1x + -1x * -1x))
49 + 7X + 7x + xX = (169 + -13x + (-13x + 1x2))

Combine like terms: -13x + -13x = -26x
49 + 7X + 7x + xX = (169 + -26x + 1x2)

Solving
49 + 7X + 7x + xX = 169 + -26x + 1x2

Solving for variable 'X'.

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

Add '-49' to each side of the equation.
49 + 7X + 7x + -49 + xX = 169 + -26x + -49 + 1x2

Reorder the terms:
49 + -49 + 7X + 7x + xX = 169 + -26x + -49 + 1x2

Combine like terms: 49 + -49 = 0
0 + 7X + 7x + xX = 169 + -26x + -49 + 1x2
7X + 7x + xX = 169 + -26x + -49 + 1x2

Reorder the terms:
7X + 7x + xX = 169 + -49 + -26x + 1x2

Combine like terms: 169 + -49 = 120
7X + 7x + xX = 120 + -26x + 1x2

Add '-7x' to each side of the equation.
7X + 7x + -7x + xX = 120 + -26x + -7x + 1x2

Combine like terms: 7x + -7x = 0
7X + 0 + xX = 120 + -26x + -7x + 1x2
7X + xX = 120 + -26x + -7x + 1x2

Combine like terms: -26x + -7x = -33x
7X + xX = 120 + -33x + 1x2

Reorder the terms:
-120 + 7X + 33x + xX + -1x2 = 120 + -33x + 1x2 + -120 + 33x + -1x2

Reorder the terms:
-120 + 7X + 33x + xX + -1x2 = 120 + -120 + -33x + 33x + 1x2 + -1x2

Combine like terms: 120 + -120 = 0
-120 + 7X + 33x + xX + -1x2 = 0 + -33x + 33x + 1x2 + -1x2
-120 + 7X + 33x + xX + -1x2 = -33x + 33x + 1x2 + -1x2

Combine like terms: -33x + 33x = 0
-120 + 7X + 33x + xX + -1x2 = 0 + 1x2 + -1x2
-120 + 7X + 33x + xX + -1x2 = 1x2 + -1x2

Combine like terms: 1x2 + -1x2 = 0
-120 + 7X + 33x + xX + -1x2 = 0

The solution to this equation could not be determined.

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