2X+36=-X^2

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Solution for 2X+36=-X^2 equation:


Simplifying
2X + 36 = -1X2

Reorder the terms:
36 + 2X = -1X2

Solving
36 + 2X = -1X2

Solving for variable 'X'.

Combine like terms: -1X2 + X2 = 0
36 + 2X + X2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-36' to each side of the equation.
36 + 2X + -36 + X2 = 0 + -36

Reorder the terms:
36 + -36 + 2X + X2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + 2X + X2 = 0 + -36
2X + X2 = 0 + -36

Combine like terms: 0 + -36 = -36
2X + X2 = -36

The X term is 2X.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2X + 1 + X2 = -36 + 1

Reorder the terms:
1 + 2X + X2 = -36 + 1

Combine like terms: -36 + 1 = -35
1 + 2X + X2 = -35

Factor a perfect square on the left side:
(X + 1)(X + 1) = -35

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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