16x^2-11x+26=0

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Solution for 16x^2-11x+26=0 equation:


Simplifying
16x2 + -11x + 26 = 0

Reorder the terms:
26 + -11x + 16x2 = 0

Solving
26 + -11x + 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'.
1.625 + -0.6875x + x2 = 0

Move the constant term to the right:

Add '-1.625' to each side of the equation.
1.625 + -0.6875x + -1.625 + x2 = 0 + -1.625

Reorder the terms:
1.625 + -1.625 + -0.6875x + x2 = 0 + -1.625

Combine like terms: 1.625 + -1.625 = 0.000
0.000 + -0.6875x + x2 = 0 + -1.625
-0.6875x + x2 = 0 + -1.625

Combine like terms: 0 + -1.625 = -1.625
-0.6875x + x2 = -1.625

The x term is -0.6875x.  Take half its coefficient (-0.34375).
Square it (0.1181640625) and add it to both sides.

Add '0.1181640625' to each side of the equation.
-0.6875x + 0.1181640625 + x2 = -1.625 + 0.1181640625

Reorder the terms:
0.1181640625 + -0.6875x + x2 = -1.625 + 0.1181640625

Combine like terms: -1.625 + 0.1181640625 = -1.5068359375
0.1181640625 + -0.6875x + x2 = -1.5068359375

Factor a perfect square on the left side:
(x + -0.34375)(x + -0.34375) = -1.5068359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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