9x^2+11x=-18

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Solution for 9x^2+11x=-18 equation:


Simplifying
9x2 + 11x = -18

Reorder the terms:
11x + 9x2 = -18

Solving
11x + 9x2 = -18

Solving for variable 'x'.

Reorder the terms:
18 + 11x + 9x2 = -18 + 18

Combine like terms: -18 + 18 = 0
18 + 11x + 9x2 = 0

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

Divide each side by '9'.
2 + 1.222222222x + x2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + 1.222222222x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + 1.222222222x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 1.222222222x + x2 = 0 + -2
1.222222222x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
1.222222222x + x2 = -2

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 = -2 + 0.3734567900

Reorder the terms:
0.3734567900 + 1.222222222x + x2 = -2 + 0.3734567900

Combine like terms: -2 + 0.3734567900 = -1.62654321
0.3734567900 + 1.222222222x + x2 = -1.62654321

Factor a perfect square on the left side:
(x + 0.611111111)(x + 0.611111111) = -1.62654321

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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