X^2+6X+23=5-3

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Solution for X^2+6X+23=5-3 equation:


Simplifying
X2 + 6X + 23 = 5 + -3

Reorder the terms:
23 + 6X + X2 = 5 + -3

Combine like terms: 5 + -3 = 2
23 + 6X + X2 = 2

Solving
23 + 6X + X2 = 2

Solving for variable 'X'.

Reorder the terms:
23 + -2 + 6X + X2 = 2 + -2

Combine like terms: 23 + -2 = 21
21 + 6X + X2 = 2 + -2

Combine like terms: 2 + -2 = 0
21 + 6X + X2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-21' to each side of the equation.
21 + 6X + -21 + X2 = 0 + -21

Reorder the terms:
21 + -21 + 6X + X2 = 0 + -21

Combine like terms: 21 + -21 = 0
0 + 6X + X2 = 0 + -21
6X + X2 = 0 + -21

Combine like terms: 0 + -21 = -21
6X + X2 = -21

The X term is 6X.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6X + 9 + X2 = -21 + 9

Reorder the terms:
9 + 6X + X2 = -21 + 9

Combine like terms: -21 + 9 = -12
9 + 6X + X2 = -12

Factor a perfect square on the left side:
(X + 3)(X + 3) = -12

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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