16=9x-2x^2

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Solution for 16=9x-2x^2 equation:


Simplifying
16 = 9x + -2x2

Solving
16 = 9x + -2x2

Solving for variable 'x'.

Reorder the terms:
16 + -9x + 2x2 = 9x + -9x + -2x2 + 2x2

Combine like terms: 9x + -9x = 0
16 + -9x + 2x2 = 0 + -2x2 + 2x2
16 + -9x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
16 + -9x + 2x2 = 0

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

Divide each side by '2'.
8 + -4.5x + x2 = 0

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + -4.5x + -8 + x2 = 0 + -8

Reorder the terms:
8 + -8 + -4.5x + x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -4.5x + x2 = 0 + -8
-4.5x + x2 = 0 + -8

Combine like terms: 0 + -8 = -8
-4.5x + x2 = -8

The x term is -4.5x.  Take half its coefficient (-2.25).
Square it (5.0625) and add it to both sides.

Add '5.0625' to each side of the equation.
-4.5x + 5.0625 + x2 = -8 + 5.0625

Reorder the terms:
5.0625 + -4.5x + x2 = -8 + 5.0625

Combine like terms: -8 + 5.0625 = -2.9375
5.0625 + -4.5x + x2 = -2.9375

Factor a perfect square on the left side:
(x + -2.25)(x + -2.25) = -2.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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