-9x^2+16x-14=0

Solution for -9x^2+16x-14=0 equation:

Simplifying
-9x2 + 16x + -14 = 0

Reorder the terms:
-14 + 16x + -9x2 = 0

Solving
-14 + 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'.
1.555555556 + -1.777777778x + x2 = 0

Move the constant term to the right:

Add '-1.555555556' to each side of the equation.
1.555555556 + -1.777777778x + -1.555555556 + x2 = 0 + -1.555555556

Reorder the terms:
1.555555556 + -1.555555556 + -1.777777778x + x2 = 0 + -1.555555556

Combine like terms: 1.555555556 + -1.555555556 = 0.000000000
0.000000000 + -1.777777778x + x2 = 0 + -1.555555556
-1.777777778x + x2 = 0 + -1.555555556

Combine like terms: 0 + -1.555555556 = -1.555555556
-1.777777778x + x2 = -1.555555556

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 = -1.555555556 + 0.7901234570

Reorder the terms:
0.7901234570 + -1.777777778x + x2 = -1.555555556 + 0.7901234570

Combine like terms: -1.555555556 + 0.7901234570 = -0.765432099
0.7901234570 + -1.777777778x + x2 = -0.765432099

Factor a perfect square on the left side:
(x + -0.888888889)(x + -0.888888889) = -0.765432099

Can't calculate square root of the right side.

The solution to this equation could not be determined.