9x^2+7x=-2

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Solution for 9x^2+7x=-2 equation:


Simplifying
9x2 + 7x = -2

Reorder the terms:
7x + 9x2 = -2

Solving
7x + 9x2 = -2

Solving for variable 'x'.

Reorder the terms:
2 + 7x + 9x2 = -2 + 2

Combine like terms: -2 + 2 = 0
2 + 7x + 9x2 = 0

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

Divide each side by '9'.
0.2222222222 + 0.7777777778x + x2 = 0

Move the constant term to the right:

Add '-0.2222222222' to each side of the equation.
0.2222222222 + 0.7777777778x + -0.2222222222 + x2 = 0 + -0.2222222222

Reorder the terms:
0.2222222222 + -0.2222222222 + 0.7777777778x + x2 = 0 + -0.2222222222

Combine like terms: 0.2222222222 + -0.2222222222 = 0.0000000000
0.0000000000 + 0.7777777778x + x2 = 0 + -0.2222222222
0.7777777778x + x2 = 0 + -0.2222222222

Combine like terms: 0 + -0.2222222222 = -0.2222222222
0.7777777778x + x2 = -0.2222222222

The x term is 0.7777777778x.  Take half its coefficient (0.3888888889).
Square it (0.1512345679) and add it to both sides.

Add '0.1512345679' to each side of the equation.
0.7777777778x + 0.1512345679 + x2 = -0.2222222222 + 0.1512345679

Reorder the terms:
0.1512345679 + 0.7777777778x + x2 = -0.2222222222 + 0.1512345679

Combine like terms: -0.2222222222 + 0.1512345679 = -0.0709876543
0.1512345679 + 0.7777777778x + x2 = -0.0709876543

Factor a perfect square on the left side:
(x + 0.3888888889)(x + 0.3888888889) = -0.0709876543

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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