-16x^2+27x+5=16.5

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Solution for -16x^2+27x+5=16.5 equation: 


Simplifying
-16x2 + 27x + 5 = 16.5

Reorder the terms:
5 + 27x + -16x2 = 16.5

Solving
5 + 27x + -16x2 = 16.5

Solving for variable 'x'.

Reorder the terms:
5 + -16.5 + 27x + -16x2 = 16.5 + -16.5

Combine like terms: 5 + -16.5 = -11.5
-11.5 + 27x + -16x2 = 16.5 + -16.5

Combine like terms: 16.5 + -16.5 = 0.0
-11.5 + 27x + -16x2 = 0.0

Begin completing the square.  Divide all terms by
-16 the coefficient of the squared term: 

Divide each side by '-16'.
0.71875 + -1.6875x + x2 = 0.0

Move the constant term to the right:

Add '-0.71875' to each side of the equation.
0.71875 + -1.6875x + -0.71875 + x2 = 0.0 + -0.71875

Reorder the terms:
0.71875 + -0.71875 + -1.6875x + x2 = 0.0 + -0.71875

Combine like terms: 0.71875 + -0.71875 = 0.00000
0.00000 + -1.6875x + x2 = 0.0 + -0.71875
-1.6875x + x2 = 0.0 + -0.71875

Combine like terms: 0.0 + -0.71875 = -0.71875
-1.6875x + x2 = -0.71875

The x term is -1.6875x.  Take half its coefficient (-0.84375).
Square it (0.7119140625) and add it to both sides.

Add '0.7119140625' to each side of the equation.
-1.6875x + 0.7119140625 + x2 = -0.71875 + 0.7119140625

Reorder the terms:
0.7119140625 + -1.6875x + x2 = -0.71875 + 0.7119140625

Combine like terms: -0.71875 + 0.7119140625 = -0.0068359375
0.7119140625 + -1.6875x + x2 = -0.0068359375

Factor a perfect square on the left side:
(x + -0.84375)(x + -0.84375) = -0.0068359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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