5r^2-44+1230=-30+11r

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Solution for 5r^2-44+1230=-30+11r equation: 


Simplifying
5r2 + -44 + 1230 = -30 + 11r

Reorder the terms:
-44 + 1230 + 5r2 = -30 + 11r

Combine like terms: -44 + 1230 = 1186
1186 + 5r2 = -30 + 11r

Solving
1186 + 5r2 = -30 + 11r

Solving for variable 'r'.

Reorder the terms:
1186 + 30 + -11r + 5r2 = -30 + 11r + 30 + -11r

Combine like terms: 1186 + 30 = 1216
1216 + -11r + 5r2 = -30 + 11r + 30 + -11r

Reorder the terms:
1216 + -11r + 5r2 = -30 + 30 + 11r + -11r

Combine like terms: -30 + 30 = 0
1216 + -11r + 5r2 = 0 + 11r + -11r
1216 + -11r + 5r2 = 11r + -11r

Combine like terms: 11r + -11r = 0
1216 + -11r + 5r2 = 0

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

Divide each side by '5'.
243.2 + -2.2r + r2 = 0

Move the constant term to the right:

Add '-243.2' to each side of the equation.
243.2 + -2.2r + -243.2 + r2 = 0 + -243.2

Reorder the terms:
243.2 + -243.2 + -2.2r + r2 = 0 + -243.2

Combine like terms: 243.2 + -243.2 = 0.0
0.0 + -2.2r + r2 = 0 + -243.2
-2.2r + r2 = 0 + -243.2

Combine like terms: 0 + -243.2 = -243.2
-2.2r + r2 = -243.2

The r term is -2.2r.  Take half its coefficient (-1.1).
Square it (1.21) and add it to both sides.

Add '1.21' to each side of the equation.
-2.2r + 1.21 + r2 = -243.2 + 1.21

Reorder the terms:
1.21 + -2.2r + r2 = -243.2 + 1.21

Combine like terms: -243.2 + 1.21 = -241.99
1.21 + -2.2r + r2 = -241.99

Factor a perfect square on the left side:
(r + -1.1)(r + -1.1) = -241.99

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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