9x^2+16x+50=0

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Solution for 9x^2+16x+50=0 equation:


Simplifying
9x2 + 16x + 50 = 0

Reorder the terms:
50 + 16x + 9x2 = 0

Solving
50 + 16x + 9x2 = 0

Solving for variable 'x'.

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

Divide each side by '9'.
5.555555556 + 1.777777778x + x2 = 0

Move the constant term to the right:

Add '-5.555555556' to each side of the equation.
5.555555556 + 1.777777778x + -5.555555556 + x2 = 0 + -5.555555556

Reorder the terms:
5.555555556 + -5.555555556 + 1.777777778x + x2 = 0 + -5.555555556

Combine like terms: 5.555555556 + -5.555555556 = 0.000000000
0.000000000 + 1.777777778x + x2 = 0 + -5.555555556
1.777777778x + x2 = 0 + -5.555555556

Combine like terms: 0 + -5.555555556 = -5.555555556
1.777777778x + x2 = -5.555555556

The x term is 1.777777778x.  Take half its coefficient (0.888888889).
Square it (0.7901234570) and add it to both sides.

Add '0.7901234570' to each side of the equation.
1.777777778x + 0.7901234570 + x2 = -5.555555556 + 0.7901234570

Reorder the terms:
0.7901234570 + 1.777777778x + x2 = -5.555555556 + 0.7901234570

Combine like terms: -5.555555556 + 0.7901234570 = -4.765432099
0.7901234570 + 1.777777778x + x2 = -4.765432099

Factor a perfect square on the left side:
(x + 0.888888889)(x + 0.888888889) = -4.765432099

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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