3r^2+7r+16=-6

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Solution for 3r^2+7r+16=-6 equation: 


Simplifying
3r2 + 7r + 16 = -6

Reorder the terms:
16 + 7r + 3r2 = -6

Solving
16 + 7r + 3r2 = -6

Solving for variable 'r'.

Reorder the terms:
16 + 6 + 7r + 3r2 = -6 + 6

Combine like terms: 16 + 6 = 22
22 + 7r + 3r2 = -6 + 6

Combine like terms: -6 + 6 = 0
22 + 7r + 3r2 = 0

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

Divide each side by '3'.
7.333333333 + 2.333333333r + r2 = 0

Move the constant term to the right:

Add '-7.333333333' to each side of the equation.
7.333333333 + 2.333333333r + -7.333333333 + r2 = 0 + -7.333333333

Reorder the terms:
7.333333333 + -7.333333333 + 2.333333333r + r2 = 0 + -7.333333333

Combine like terms: 7.333333333 + -7.333333333 = 0.000000000
0.000000000 + 2.333333333r + r2 = 0 + -7.333333333
2.333333333r + r2 = 0 + -7.333333333

Combine like terms: 0 + -7.333333333 = -7.333333333
2.333333333r + r2 = -7.333333333

The r term is 2.333333333r.  Take half its coefficient (1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
2.333333333r + 1.361111112 + r2 = -7.333333333 + 1.361111112

Reorder the terms:
1.361111112 + 2.333333333r + r2 = -7.333333333 + 1.361111112

Combine like terms: -7.333333333 + 1.361111112 = -5.972222221
1.361111112 + 2.333333333r + r2 = -5.972222221

Factor a perfect square on the left side:
(r + 1.166666667)(r + 1.166666667) = -5.972222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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