(X+2)2=1-x(x+3)

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Solution for (X+2)2=1-x(x+3) equation: 


Simplifying
(X + 2) * 2 = 1 + -1x(x + 3)

Reorder the terms:
(2 + X) * 2 = 1 + -1x(x + 3)

Reorder the terms for easier multiplication:
2(2 + X) = 1 + -1x(x + 3)
(2 * 2 + X * 2) = 1 + -1x(x + 3)
(4 + 2X) = 1 + -1x(x + 3)

Reorder the terms:
4 + 2X = 1 + -1x(3 + x)
4 + 2X = 1 + (3 * -1x + x * -1x)
4 + 2X = 1 + (-3x + -1x2)

Solving
4 + 2X = 1 + -3x + -1x2

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 + -4 + 2X = 1 + -3x + -4 + -1x2

Combine like terms: 4 + -4 = 0
0 + 2X = 1 + -3x + -4 + -1x2
2X = 1 + -3x + -4 + -1x2

Reorder the terms:
2X = 1 + -4 + -3x + -1x2

Combine like terms: 1 + -4 = -3
2X = -3 + -3x + -1x2

Divide each side by '2'.
X = -1.5 + -1.5x + -0.5x2

Simplifying
X = -1.5 + -1.5x + -0.5x2

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