16x^2-55x+49=0

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Solution for 16x^2-55x+49=0 equation:


Simplifying
16x2 + -55x + 49 = 0

Reorder the terms:
49 + -55x + 16x2 = 0

Solving
49 + -55x + 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'.
3.0625 + -3.4375x + x2 = 0

Move the constant term to the right:

Add '-3.0625' to each side of the equation.
3.0625 + -3.4375x + -3.0625 + x2 = 0 + -3.0625

Reorder the terms:
3.0625 + -3.0625 + -3.4375x + x2 = 0 + -3.0625

Combine like terms: 3.0625 + -3.0625 = 0.0000
0.0000 + -3.4375x + x2 = 0 + -3.0625
-3.4375x + x2 = 0 + -3.0625

Combine like terms: 0 + -3.0625 = -3.0625
-3.4375x + x2 = -3.0625

The x term is -3.4375x.  Take half its coefficient (-1.71875).
Square it (2.954101563) and add it to both sides.

Add '2.954101563' to each side of the equation.
-3.4375x + 2.954101563 + x2 = -3.0625 + 2.954101563

Reorder the terms:
2.954101563 + -3.4375x + x2 = -3.0625 + 2.954101563

Combine like terms: -3.0625 + 2.954101563 = -0.108398437
2.954101563 + -3.4375x + x2 = -0.108398437

Factor a perfect square on the left side:
(x + -1.71875)(x + -1.71875) = -0.108398437

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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