16=19r-6r^2

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Solution for 16=19r-6r^2 equation: 


Simplifying
16 = 19r + -6r2

Solving
16 = 19r + -6r2

Solving for variable 'r'.

Reorder the terms:
16 + -19r + 6r2 = 19r + -19r + -6r2 + 6r2

Combine like terms: 19r + -19r = 0
16 + -19r + 6r2 = 0 + -6r2 + 6r2
16 + -19r + 6r2 = -6r2 + 6r2

Combine like terms: -6r2 + 6r2 = 0
16 + -19r + 6r2 = 0

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

Divide each side by '6'.
2.666666667 + -3.166666667r + r2 = 0

Move the constant term to the right:

Add '-2.666666667' to each side of the equation.
2.666666667 + -3.166666667r + -2.666666667 + r2 = 0 + -2.666666667

Reorder the terms:
2.666666667 + -2.666666667 + -3.166666667r + r2 = 0 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + -3.166666667r + r2 = 0 + -2.666666667
-3.166666667r + r2 = 0 + -2.666666667

Combine like terms: 0 + -2.666666667 = -2.666666667
-3.166666667r + r2 = -2.666666667

The r term is -3.166666667r.  Take half its coefficient (-1.583333334).
Square it (2.506944447) and add it to both sides.

Add '2.506944447' to each side of the equation.
-3.166666667r + 2.506944447 + r2 = -2.666666667 + 2.506944447

Reorder the terms:
2.506944447 + -3.166666667r + r2 = -2.666666667 + 2.506944447

Combine like terms: -2.666666667 + 2.506944447 = -0.15972222
2.506944447 + -3.166666667r + r2 = -0.15972222

Factor a perfect square on the left side:
(r + -1.583333334)(r + -1.583333334) = -0.15972222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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