9x^2+2x=-9

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


Simplifying
9x2 + 2x = -9

Reorder the terms:
2x + 9x2 = -9

Solving
2x + 9x2 = -9

Solving for variable 'x'.

Reorder the terms:
9 + 2x + 9x2 = -9 + 9

Combine like terms: -9 + 9 = 0
9 + 2x + 9x2 = 0

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

Divide each side by '9'.
1 + 0.2222222222x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + 0.2222222222x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + 0.2222222222x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 0.2222222222x + x2 = 0 + -1
0.2222222222x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
0.2222222222x + x2 = -1

The x term is 0.2222222222x.  Take half its coefficient (0.1111111111).
Square it (0.01234567901) and add it to both sides.

Add '0.01234567901' to each side of the equation.
0.2222222222x + 0.01234567901 + x2 = -1 + 0.01234567901

Reorder the terms:
0.01234567901 + 0.2222222222x + x2 = -1 + 0.01234567901

Combine like terms: -1 + 0.01234567901 = -0.98765432099
0.01234567901 + 0.2222222222x + x2 = -0.98765432099

Factor a perfect square on the left side:
(x + 0.1111111111)(x + 0.1111111111) = -0.98765432099

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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