16x^2-15x+88=0

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Solution for 16x^2-15x+88=0 equation:


Simplifying
16x2 + -15x + 88 = 0

Reorder the terms:
88 + -15x + 16x2 = 0

Solving
88 + -15x + 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'.
5.5 + -0.9375x + x2 = 0

Move the constant term to the right:

Add '-5.5' to each side of the equation.
5.5 + -0.9375x + -5.5 + x2 = 0 + -5.5

Reorder the terms:
5.5 + -5.5 + -0.9375x + x2 = 0 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + -0.9375x + x2 = 0 + -5.5
-0.9375x + x2 = 0 + -5.5

Combine like terms: 0 + -5.5 = -5.5
-0.9375x + x2 = -5.5

The x term is -0.9375x.  Take half its coefficient (-0.46875).
Square it (0.2197265625) and add it to both sides.

Add '0.2197265625' to each side of the equation.
-0.9375x + 0.2197265625 + x2 = -5.5 + 0.2197265625

Reorder the terms:
0.2197265625 + -0.9375x + x2 = -5.5 + 0.2197265625

Combine like terms: -5.5 + 0.2197265625 = -5.2802734375
0.2197265625 + -0.9375x + x2 = -5.2802734375

Factor a perfect square on the left side:
(x + -0.46875)(x + -0.46875) = -5.2802734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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