(X+4)(x+4)=x(x+6)

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Solution for (X+4)(x+4)=x(x+6) equation: 


Simplifying
(X + 4)(x + 4) = x(x + 6)

Reorder the terms:
(4 + X)(x + 4) = x(x + 6)

Reorder the terms:
(4 + X)(4 + x) = x(x + 6)

Multiply (4 + X) * (4 + x)
(4(4 + x) + X(4 + x)) = x(x + 6)
((4 * 4 + x * 4) + X(4 + x)) = x(x + 6)
((16 + 4x) + X(4 + x)) = x(x + 6)
(16 + 4x + (4 * X + x * X)) = x(x + 6)
(16 + 4x + (4X + xX)) = x(x + 6)

Reorder the terms:
(16 + 4X + 4x + xX) = x(x + 6)
(16 + 4X + 4x + xX) = x(x + 6)

Reorder the terms:
16 + 4X + 4x + xX = x(6 + x)
16 + 4X + 4x + xX = (6 * x + x * x)
16 + 4X + 4x + xX = (6x + x2)

Solving
16 + 4X + 4x + xX = 6x + x2

Solving for variable 'X'.

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

Add '-16' to each side of the equation.
16 + 4X + 4x + -16 + xX = 6x + -16 + x2

Reorder the terms:
16 + -16 + 4X + 4x + xX = 6x + -16 + x2

Combine like terms: 16 + -16 = 0
0 + 4X + 4x + xX = 6x + -16 + x2
4X + 4x + xX = 6x + -16 + x2

Reorder the terms:
4X + 4x + xX = -16 + 6x + x2

Add '-4x' to each side of the equation.
4X + 4x + -4x + xX = -16 + 6x + -4x + x2

Combine like terms: 4x + -4x = 0
4X + 0 + xX = -16 + 6x + -4x + x2
4X + xX = -16 + 6x + -4x + x2

Combine like terms: 6x + -4x = 2x
4X + xX = -16 + 2x + x2

Reorder the terms:
16 + 4X + -2x + xX + -1x2 = -16 + 2x + x2 + 16 + -2x + -1x2

Reorder the terms:
16 + 4X + -2x + xX + -1x2 = -16 + 16 + 2x + -2x + x2 + -1x2

Combine like terms: -16 + 16 = 0
16 + 4X + -2x + xX + -1x2 = 0 + 2x + -2x + x2 + -1x2
16 + 4X + -2x + xX + -1x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
16 + 4X + -2x + xX + -1x2 = 0 + x2 + -1x2
16 + 4X + -2x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 + 4X + -2x + xX + -1x2 = 0

The solution to this equation could not be determined.

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