16x^2-121x+576=0

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Solution for 16x^2-121x+576=0 equation:


Simplifying
16x2 + -121x + 576 = 0

Reorder the terms:
576 + -121x + 16x2 = 0

Solving
576 + -121x + 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'.
36 + -7.5625x + x2 = 0

Move the constant term to the right:

Add '-36' to each side of the equation.
36 + -7.5625x + -36 + x2 = 0 + -36

Reorder the terms:
36 + -36 + -7.5625x + x2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -7.5625x + x2 = 0 + -36
-7.5625x + x2 = 0 + -36

Combine like terms: 0 + -36 = -36
-7.5625x + x2 = -36

The x term is -7.5625x.  Take half its coefficient (-3.78125).
Square it (14.29785156) and add it to both sides.

Add '14.29785156' to each side of the equation.
-7.5625x + 14.29785156 + x2 = -36 + 14.29785156

Reorder the terms:
14.29785156 + -7.5625x + x2 = -36 + 14.29785156

Combine like terms: -36 + 14.29785156 = -21.70214844
14.29785156 + -7.5625x + x2 = -21.70214844

Factor a perfect square on the left side:
(x + -3.78125)(x + -3.78125) = -21.70214844

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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