6r^2=-12-11r

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Solution for 6r^2=-12-11r equation:


Simplifying
6r2 = -12 + -11r

Solving
6r2 = -12 + -11r

Solving for variable 'r'.

Reorder the terms:
12 + 11r + 6r2 = -12 + -11r + 12 + 11r

Reorder the terms:
12 + 11r + 6r2 = -12 + 12 + -11r + 11r

Combine like terms: -12 + 12 = 0
12 + 11r + 6r2 = 0 + -11r + 11r
12 + 11r + 6r2 = -11r + 11r

Combine like terms: -11r + 11r = 0
12 + 11r + 6r2 = 0

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

Divide each side by '6'.
2 + 1.833333333r + r2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + 1.833333333r + -2 + r2 = 0 + -2

Reorder the terms:
2 + -2 + 1.833333333r + r2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 1.833333333r + r2 = 0 + -2
1.833333333r + r2 = 0 + -2

Combine like terms: 0 + -2 = -2
1.833333333r + r2 = -2

The r term is 1.833333333r.  Take half its coefficient (0.9166666665).
Square it (0.8402777775) and add it to both sides.

Add '0.8402777775' to each side of the equation.
1.833333333r + 0.8402777775 + r2 = -2 + 0.8402777775

Reorder the terms:
0.8402777775 + 1.833333333r + r2 = -2 + 0.8402777775

Combine like terms: -2 + 0.8402777775 = -1.1597222225
0.8402777775 + 1.833333333r + r2 = -1.1597222225

Factor a perfect square on the left side:
(r + 0.9166666665)(r + 0.9166666665) = -1.1597222225

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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