33r^2+2r+16=

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Solution for 33r^2+2r+16= equation:


Simplifying
33r2 + 2r + 16 = 0

Reorder the terms:
16 + 2r + 33r2 = 0

Solving
16 + 2r + 33r2 = 0

Solving for variable 'r'.

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

Divide each side by '33'.
0.4848484848 + 0.06060606061r + r2 = 0

Move the constant term to the right:

Add '-0.4848484848' to each side of the equation.
0.4848484848 + 0.06060606061r + -0.4848484848 + r2 = 0 + -0.4848484848

Reorder the terms:
0.4848484848 + -0.4848484848 + 0.06060606061r + r2 = 0 + -0.4848484848

Combine like terms: 0.4848484848 + -0.4848484848 = 0.0000000000
0.0000000000 + 0.06060606061r + r2 = 0 + -0.4848484848
0.06060606061r + r2 = 0 + -0.4848484848

Combine like terms: 0 + -0.4848484848 = -0.4848484848
0.06060606061r + r2 = -0.4848484848

The r term is 0.06060606061r.  Take half its coefficient (0.03030303031).
Square it (0.0009182736460) and add it to both sides.

Add '0.0009182736460' to each side of the equation.
0.06060606061r + 0.0009182736460 + r2 = -0.4848484848 + 0.0009182736460

Reorder the terms:
0.0009182736460 + 0.06060606061r + r2 = -0.4848484848 + 0.0009182736460

Combine like terms: -0.4848484848 + 0.0009182736460 = -0.483930211154
0.0009182736460 + 0.06060606061r + r2 = -0.483930211154

Factor a perfect square on the left side:
(r + 0.03030303031)(r + 0.03030303031) = -0.483930211154

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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