185=(X+8)(x+8)+(x+3)(x+3)

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Solution for 185=(X+8)(x+8)+(x+3)(x+3) equation: 


Simplifying
185 = (X + 8)(x + 8) + (x + 3)(x + 3)

Reorder the terms:
185 = (8 + X)(x + 8) + (x + 3)(x + 3)

Reorder the terms:
185 = (8 + X)(8 + x) + (x + 3)(x + 3)

Multiply (8 + X) * (8 + x)
185 = (8(8 + x) + X(8 + x)) + (x + 3)(x + 3)
185 = ((8 * 8 + x * 8) + X(8 + x)) + (x + 3)(x + 3)
185 = ((64 + 8x) + X(8 + x)) + (x + 3)(x + 3)
185 = (64 + 8x + (8 * X + x * X)) + (x + 3)(x + 3)
185 = (64 + 8x + (8X + xX)) + (x + 3)(x + 3)

Reorder the terms:
185 = (64 + 8X + 8x + xX) + (x + 3)(x + 3)
185 = (64 + 8X + 8x + xX) + (x + 3)(x + 3)

Reorder the terms:
185 = 64 + 8X + 8x + xX + (3 + x)(x + 3)

Reorder the terms:
185 = 64 + 8X + 8x + xX + (3 + x)(3 + x)

Multiply (3 + x) * (3 + x)
185 = 64 + 8X + 8x + xX + (3(3 + x) + x(3 + x))
185 = 64 + 8X + 8x + xX + ((3 * 3 + x * 3) + x(3 + x))
185 = 64 + 8X + 8x + xX + ((9 + 3x) + x(3 + x))
185 = 64 + 8X + 8x + xX + (9 + 3x + (3 * x + x * x))
185 = 64 + 8X + 8x + xX + (9 + 3x + (3x + x2))

Combine like terms: 3x + 3x = 6x
185 = 64 + 8X + 8x + xX + (9 + 6x + x2)

Reorder the terms:
185 = 64 + 9 + 8X + 8x + 6x + xX + x2

Combine like terms: 64 + 9 = 73
185 = 73 + 8X + 8x + 6x + xX + x2

Combine like terms: 8x + 6x = 14x
185 = 73 + 8X + 14x + xX + x2

Solving
185 = 73 + 8X + 14x + xX + x2

Solving for variable 'X'.

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

Add '-8X' to each side of the equation.
185 + -8X = 73 + 8X + 14x + xX + -8X + x2

Reorder the terms:
185 + -8X = 73 + 8X + -8X + 14x + xX + x2

Combine like terms: 8X + -8X = 0
185 + -8X = 73 + 0 + 14x + xX + x2
185 + -8X = 73 + 14x + xX + x2

Add '-1xX' to each side of the equation.
185 + -8X + -1xX = 73 + 14x + xX + -1xX + x2

Combine like terms: xX + -1xX = 0
185 + -8X + -1xX = 73 + 14x + 0 + x2
185 + -8X + -1xX = 73 + 14x + x2

Add '-185' to each side of the equation.
185 + -8X + -185 + -1xX = 73 + 14x + -185 + x2

Reorder the terms:
185 + -185 + -8X + -1xX = 73 + 14x + -185 + x2

Combine like terms: 185 + -185 = 0
0 + -8X + -1xX = 73 + 14x + -185 + x2
-8X + -1xX = 73 + 14x + -185 + x2

Reorder the terms:
-8X + -1xX = 73 + -185 + 14x + x2

Combine like terms: 73 + -185 = -112
-8X + -1xX = -112 + 14x + x2

Reorder the terms:
112 + -8X + -14x + -1xX + -1x2 = -112 + 14x + x2 + 112 + -14x + -1x2

Reorder the terms:
112 + -8X + -14x + -1xX + -1x2 = -112 + 112 + 14x + -14x + x2 + -1x2

Combine like terms: -112 + 112 = 0
112 + -8X + -14x + -1xX + -1x2 = 0 + 14x + -14x + x2 + -1x2
112 + -8X + -14x + -1xX + -1x2 = 14x + -14x + x2 + -1x2

Combine like terms: 14x + -14x = 0
112 + -8X + -14x + -1xX + -1x2 = 0 + x2 + -1x2
112 + -8X + -14x + -1xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
112 + -8X + -14x + -1xX + -1x2 = 0

The solution to this equation could not be determined.

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