(X+2)(x+4)=x(x+20)

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Solution for (X+2)(x+4)=x(x+20) equation:


Simplifying
(X + 2)(x + 4) = x(x + 20)

Reorder the terms:
(2 + X)(x + 4) = x(x + 20)

Reorder the terms:
(2 + X)(4 + x) = x(x + 20)

Multiply (2 + X) * (4 + x)
(2(4 + x) + X(4 + x)) = x(x + 20)
((4 * 2 + x * 2) + X(4 + x)) = x(x + 20)
((8 + 2x) + X(4 + x)) = x(x + 20)
(8 + 2x + (4 * X + x * X)) = x(x + 20)
(8 + 2x + (4X + xX)) = x(x + 20)

Reorder the terms:
(8 + 4X + 2x + xX) = x(x + 20)
(8 + 4X + 2x + xX) = x(x + 20)

Reorder the terms:
8 + 4X + 2x + xX = x(20 + x)
8 + 4X + 2x + xX = (20 * x + x * x)
8 + 4X + 2x + xX = (20x + x2)

Solving
8 + 4X + 2x + xX = 20x + x2

Solving for variable 'X'.

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

Add '-8' to each side of the equation.
8 + 4X + 2x + -8 + xX = 20x + -8 + x2

Reorder the terms:
8 + -8 + 4X + 2x + xX = 20x + -8 + x2

Combine like terms: 8 + -8 = 0
0 + 4X + 2x + xX = 20x + -8 + x2
4X + 2x + xX = 20x + -8 + x2

Reorder the terms:
4X + 2x + xX = -8 + 20x + x2

Add '-2x' to each side of the equation.
4X + 2x + -2x + xX = -8 + 20x + -2x + x2

Combine like terms: 2x + -2x = 0
4X + 0 + xX = -8 + 20x + -2x + x2
4X + xX = -8 + 20x + -2x + x2

Combine like terms: 20x + -2x = 18x
4X + xX = -8 + 18x + x2

Reorder the terms:
8 + 4X + -18x + xX + -1x2 = -8 + 18x + x2 + 8 + -18x + -1x2

Reorder the terms:
8 + 4X + -18x + xX + -1x2 = -8 + 8 + 18x + -18x + x2 + -1x2

Combine like terms: -8 + 8 = 0
8 + 4X + -18x + xX + -1x2 = 0 + 18x + -18x + x2 + -1x2
8 + 4X + -18x + xX + -1x2 = 18x + -18x + x2 + -1x2

Combine like terms: 18x + -18x = 0
8 + 4X + -18x + xX + -1x2 = 0 + x2 + -1x2
8 + 4X + -18x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
8 + 4X + -18x + xX + -1x2 = 0

The solution to this equation could not be determined.

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