16x^2-25x+9216=0

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Solution for 16x^2-25x+9216=0 equation:


Simplifying
16x2 + -25x + 9216 = 0

Reorder the terms:
9216 + -25x + 16x2 = 0

Solving
9216 + -25x + 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'.
576 + -1.5625x + x2 = 0

Move the constant term to the right:

Add '-576' to each side of the equation.
576 + -1.5625x + -576 + x2 = 0 + -576

Reorder the terms:
576 + -576 + -1.5625x + x2 = 0 + -576

Combine like terms: 576 + -576 = 0
0 + -1.5625x + x2 = 0 + -576
-1.5625x + x2 = 0 + -576

Combine like terms: 0 + -576 = -576
-1.5625x + x2 = -576

The x term is -1.5625x.  Take half its coefficient (-0.78125).
Square it (0.6103515625) and add it to both sides.

Add '0.6103515625' to each side of the equation.
-1.5625x + 0.6103515625 + x2 = -576 + 0.6103515625

Reorder the terms:
0.6103515625 + -1.5625x + x2 = -576 + 0.6103515625

Combine like terms: -576 + 0.6103515625 = -575.3896484375
0.6103515625 + -1.5625x + x2 = -575.3896484375

Factor a perfect square on the left side:
(x + -0.78125)(x + -0.78125) = -575.3896484375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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