X^2+12X+67=0

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Solution for X^2+12X+67=0 equation:


Simplifying
X2 + 12X + 67 = 0

Reorder the terms:
67 + 12X + X2 = 0

Solving
67 + 12X + X2 = 0

Solving for variable 'X'.

Begin completing the square.

Move the constant term to the right:

Add '-67' to each side of the equation.
67 + 12X + -67 + X2 = 0 + -67

Reorder the terms:
67 + -67 + 12X + X2 = 0 + -67

Combine like terms: 67 + -67 = 0
0 + 12X + X2 = 0 + -67
12X + X2 = 0 + -67

Combine like terms: 0 + -67 = -67
12X + X2 = -67

The X term is 12X.  Take half its coefficient (6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
12X + 36 + X2 = -67 + 36

Reorder the terms:
36 + 12X + X2 = -67 + 36

Combine like terms: -67 + 36 = -31
36 + 12X + X2 = -31

Factor a perfect square on the left side:
(X + 6)(X + 6) = -31

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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