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

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


Simplifying
(X + 2) * 2 + -1x(4 + x) = x

Reorder the terms:
(2 + X) * 2 + -1x(4 + x) = x

Reorder the terms for easier multiplication:
2(2 + X) + -1x(4 + x) = x
(2 * 2 + X * 2) + -1x(4 + x) = x
(4 + 2X) + -1x(4 + x) = x
4 + 2X + (4 * -1x + x * -1x) = x
4 + 2X + (-4x + -1x2) = x

Solving
4 + 2X + -4x + -1x2 = x

Solving for variable 'X'.

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

Add '-4' to each side of the equation.
4 + 2X + -4x + -4 + -1x2 = -4 + x

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

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

Add '4x' to each side of the equation.
2X + -4x + 4x + -1x2 = -4 + x + 4x

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

Combine like terms: x + 4x = 5x
2X + -1x2 = -4 + 5x

Add 'x2' to each side of the equation.
2X + -1x2 + x2 = -4 + 5x + x2

Combine like terms: -1x2 + x2 = 0
2X + 0 = -4 + 5x + x2
2X = -4 + 5x + x2

Divide each side by '2'.
X = -2 + 2.5x + 0.5x2

Simplifying
X = -2 + 2.5x + 0.5x2

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