5r^2-44r+120=-30-11r

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Solution for 5r^2-44r+120=-30-11r equation: 


Simplifying
5r2 + -44r + 120 = -30 + -11r

Reorder the terms:
120 + -44r + 5r2 = -30 + -11r

Solving
120 + -44r + 5r2 = -30 + -11r

Solving for variable 'r'.

Reorder the terms:
120 + 30 + -44r + 11r + 5r2 = -30 + -11r + 30 + 11r

Combine like terms: 120 + 30 = 150
150 + -44r + 11r + 5r2 = -30 + -11r + 30 + 11r

Combine like terms: -44r + 11r = -33r
150 + -33r + 5r2 = -30 + -11r + 30 + 11r

Reorder the terms:
150 + -33r + 5r2 = -30 + 30 + -11r + 11r

Combine like terms: -30 + 30 = 0
150 + -33r + 5r2 = 0 + -11r + 11r
150 + -33r + 5r2 = -11r + 11r

Combine like terms: -11r + 11r = 0
150 + -33r + 5r2 = 0

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

Divide each side by '5'.
30 + -6.6r + r2 = 0

Move the constant term to the right:

Add '-30' to each side of the equation.
30 + -6.6r + -30 + r2 = 0 + -30

Reorder the terms:
30 + -30 + -6.6r + r2 = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -6.6r + r2 = 0 + -30
-6.6r + r2 = 0 + -30

Combine like terms: 0 + -30 = -30
-6.6r + r2 = -30

The r term is -6.6r.  Take half its coefficient (-3.3).
Square it (10.89) and add it to both sides.

Add '10.89' to each side of the equation.
-6.6r + 10.89 + r2 = -30 + 10.89

Reorder the terms:
10.89 + -6.6r + r2 = -30 + 10.89

Combine like terms: -30 + 10.89 = -19.11
10.89 + -6.6r + r2 = -19.11

Factor a perfect square on the left side:
(r + -3.3)(r + -3.3) = -19.11

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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