-3x^2+5x-9=16

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Solution for -3x^2+5x-9=16 equation: 


Simplifying
-3x2 + 5x + -9 = 16

Reorder the terms:
-9 + 5x + -3x2 = 16

Solving
-9 + 5x + -3x2 = 16

Solving for variable 'x'.

Reorder the terms:
-9 + -16 + 5x + -3x2 = 16 + -16

Combine like terms: -9 + -16 = -25
-25 + 5x + -3x2 = 16 + -16

Combine like terms: 16 + -16 = 0
-25 + 5x + -3x2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
8.333333333 + -1.666666667x + x2 = 0

Move the constant term to the right:

Add '-8.333333333' to each side of the equation.
8.333333333 + -1.666666667x + -8.333333333 + x2 = 0 + -8.333333333

Reorder the terms:
8.333333333 + -8.333333333 + -1.666666667x + x2 = 0 + -8.333333333

Combine like terms: 8.333333333 + -8.333333333 = 0.000000000
0.000000000 + -1.666666667x + x2 = 0 + -8.333333333
-1.666666667x + x2 = 0 + -8.333333333

Combine like terms: 0 + -8.333333333 = -8.333333333
-1.666666667x + x2 = -8.333333333

The x term is -1.666666667x.  Take half its coefficient (-0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
-1.666666667x + 0.6944444447 + x2 = -8.333333333 + 0.6944444447

Reorder the terms:
0.6944444447 + -1.666666667x + x2 = -8.333333333 + 0.6944444447

Combine like terms: -8.333333333 + 0.6944444447 = -7.6388888883
0.6944444447 + -1.666666667x + x2 = -7.6388888883

Factor a perfect square on the left side:
(x + -0.8333333335)(x + -0.8333333335) = -7.6388888883

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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