16x^2-96x+299=0

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Solution for 16x^2-96x+299=0 equation:


Simplifying
16x2 + -96x + 299 = 0

Reorder the terms:
299 + -96x + 16x2 = 0

Solving
299 + -96x + 16x2 = 0

Solving for variable 'x'.

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

Divide each side by '16'.
18.6875 + -6x + x2 = 0

Move the constant term to the right:

Add '-18.6875' to each side of the equation.
18.6875 + -6x + -18.6875 + x2 = 0 + -18.6875

Reorder the terms:
18.6875 + -18.6875 + -6x + x2 = 0 + -18.6875

Combine like terms: 18.6875 + -18.6875 = 0.0000
0.0000 + -6x + x2 = 0 + -18.6875
-6x + x2 = 0 + -18.6875

Combine like terms: 0 + -18.6875 = -18.6875
-6x + x2 = -18.6875

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = -18.6875 + 9

Reorder the terms:
9 + -6x + x2 = -18.6875 + 9

Combine like terms: -18.6875 + 9 = -9.6875
9 + -6x + x2 = -9.6875

Factor a perfect square on the left side:
(x + -3)(x + -3) = -9.6875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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