6X^2+5X+9=

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Solution for 6X^2+5X+9= equation:


Simplifying
6X2 + 5X + 9 = 0

Reorder the terms:
9 + 5X + 6X2 = 0

Solving
9 + 5X + 6X2 = 0

Solving for variable 'X'.

Begin completing the square.  Divide all terms by
6 the coefficient of the squared term: 

Divide each side by '6'.
1.5 + 0.8333333333X + X2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + 0.8333333333X + -1.5 + X2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + 0.8333333333X + X2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 0.8333333333X + X2 = 0 + -1.5
0.8333333333X + X2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
0.8333333333X + X2 = -1.5

The X term is 0.8333333333X.  Take half its coefficient (0.4166666667).
Square it (0.1736111111) and add it to both sides.

Add '0.1736111111' to each side of the equation.
0.8333333333X + 0.1736111111 + X2 = -1.5 + 0.1736111111

Reorder the terms:
0.1736111111 + 0.8333333333X + X2 = -1.5 + 0.1736111111

Combine like terms: -1.5 + 0.1736111111 = -1.3263888889
0.1736111111 + 0.8333333333X + X2 = -1.3263888889

Factor a perfect square on the left side:
(X + 0.4166666667)(X + 0.4166666667) = -1.3263888889

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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