18x^2+22x+21=0

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Solution for 18x^2+22x+21=0 equation:


Simplifying
18x2 + 22x + 21 = 0

Reorder the terms:
21 + 22x + 18x2 = 0

Solving
21 + 22x + 18x2 = 0

Solving for variable 'x'.

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

Divide each side by '18'.
1.166666667 + 1.222222222x + x2 = 0

Move the constant term to the right:

Add '-1.166666667' to each side of the equation.
1.166666667 + 1.222222222x + -1.166666667 + x2 = 0 + -1.166666667

Reorder the terms:
1.166666667 + -1.166666667 + 1.222222222x + x2 = 0 + -1.166666667

Combine like terms: 1.166666667 + -1.166666667 = 0.000000000
0.000000000 + 1.222222222x + x2 = 0 + -1.166666667
1.222222222x + x2 = 0 + -1.166666667

Combine like terms: 0 + -1.166666667 = -1.166666667
1.222222222x + x2 = -1.166666667

The x term is 1.222222222x.  Take half its coefficient (0.611111111).
Square it (0.3734567900) and add it to both sides.

Add '0.3734567900' to each side of the equation.
1.222222222x + 0.3734567900 + x2 = -1.166666667 + 0.3734567900

Reorder the terms:
0.3734567900 + 1.222222222x + x2 = -1.166666667 + 0.3734567900

Combine like terms: -1.166666667 + 0.3734567900 = -0.793209877
0.3734567900 + 1.222222222x + x2 = -0.793209877

Factor a perfect square on the left side:
(x + 0.611111111)(x + 0.611111111) = -0.793209877

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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