7r^2=-30-11r

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Solution for 7r^2=-30-11r equation: 


Simplifying
7r2 = -30 + -11r

Solving
7r2 = -30 + -11r

Solving for variable 'r'.

Reorder the terms:
30 + 11r + 7r2 = -30 + -11r + 30 + 11r

Reorder the terms:
30 + 11r + 7r2 = -30 + 30 + -11r + 11r

Combine like terms: -30 + 30 = 0
30 + 11r + 7r2 = 0 + -11r + 11r
30 + 11r + 7r2 = -11r + 11r

Combine like terms: -11r + 11r = 0
30 + 11r + 7r2 = 0

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

Divide each side by '7'.
4.285714286 + 1.571428571r + r2 = 0

Move the constant term to the right:

Add '-4.285714286' to each side of the equation.
4.285714286 + 1.571428571r + -4.285714286 + r2 = 0 + -4.285714286

Reorder the terms:
4.285714286 + -4.285714286 + 1.571428571r + r2 = 0 + -4.285714286

Combine like terms: 4.285714286 + -4.285714286 = 0.000000000
0.000000000 + 1.571428571r + r2 = 0 + -4.285714286
1.571428571r + r2 = 0 + -4.285714286

Combine like terms: 0 + -4.285714286 = -4.285714286
1.571428571r + r2 = -4.285714286

The r term is 1.571428571r.  Take half its coefficient (0.7857142855).
Square it (0.6173469384) and add it to both sides.

Add '0.6173469384' to each side of the equation.
1.571428571r + 0.6173469384 + r2 = -4.285714286 + 0.6173469384

Reorder the terms:
0.6173469384 + 1.571428571r + r2 = -4.285714286 + 0.6173469384

Combine like terms: -4.285714286 + 0.6173469384 = -3.6683673476
0.6173469384 + 1.571428571r + r2 = -3.6683673476

Factor a perfect square on the left side:
(r + 0.7857142855)(r + 0.7857142855) = -3.6683673476

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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